document.write( "Question 466923: convert 120 milligrams per deciliter to micrograms per milliliters \n" ); document.write( "
Algebra.Com's Answer #320240 by Big Poop(157)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B-2x%2B-3+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-2%29%5E2-4%2A1%2A-3=16\".
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\n" ); document.write( " Discriminant d=16 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--2%2B-sqrt%28+16+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+16+%29%29%2F2%5C1+=+3\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-2%29-sqrt%28+16+%29%29%2F2%5C1+=+-1\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-2x%2B-3\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-2x%2B-3+=+1%28x-3%29%2A%28x--1%29\"
\n" ); document.write( " Again, the answer is: 3, -1.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-2%2Ax%2B-3+%29\"
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: x=2.
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  • Graphical form: Equation \"x%2Bx-x%2B2x=6\" was fully solved.
  • Text form: x+x-x+2x=6 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2Bx-x%2B2x=6+%29\"
    For tutors: simplify_cartoon( x+x-x+2x=6 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at .
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+x+%29\",\"highlight_red%28+-x+%29\",\"highlight_red%28+2%2Ax+%29\" replacing them with \"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29=6\".
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Look at .
Added fractions or integers together
It becomes \"%28highlight_green%28+3+%29%29%2Ax=6\".
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Look at \"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=6\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2Ax=6\".
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Look at \"3%2Ax=highlight_red%28+6+%29\".
Moved these terms to the left \"highlight_green%28+-6+%29\"
It becomes \"3%2Ax-highlight_green%28+6+%29=0\".
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Look at \"highlight_red%28+3%2Ax-6+%29=0\".
Solved linear equation \"highlight_red%28+3%2Ax-6=0+%29\" equivalent to 3*x-6 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=2.

Universal Simplifier and Solver

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Done!
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