document.write( "Question 615449: The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x \n" ); document.write( "

Algebra.Com's Answer #387162 by asuar010(338) $\"\"$ $\"About$

You can put this solution on YOUR website!
are is b*h/2 so we get (x+4)*x/2 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: x=4,x=-8.
Graphical form: Equation $\"%28x%2B4%29%2Ax%2F2=16\"$ was fully solved.
Text form: (x+4)*x/2=16 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%28x%2B4%29%2Ax%2F2=16+%29\"$
For tutors: simplify_cartoon( (x+4)*x/2=16 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"%28x%2B4%29%2Ax%2F2=highlight_red%28+16+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-16+%29\"$
It becomes $\"%28x%2B4%29%2Ax%2F2-highlight_green%28+16+%29=0\"$ .
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Look at $\"highlight_red%28+%28x%2B4%29%2Ax%2F2+%29-16=0\"$ .
Expanded term $\"x%2F2\"$ by using associative property on $\"%28x%2B4%29\"$
It becomes $\"highlight_green%28+x%2F2%2Ax+%29%2Bhighlight_green%28+x%2F2%2A4+%29-16=0\"$ .
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Look at $\"x%2F2%2Ax%2Bx%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+4+%29-16=0\"$ .
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"x%2F2%2Ax%2Bx%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+2+%29-16=0\"$ .
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Look at $\"highlight_red%28+x+%29%2F2%2Ahighlight_red%28+x+%29%2Bx%2F1%2A2-16=0\"$ .
Reduce similar several occurrences of $\"highlight_red%28+x+%29\"$ to $\"highlight_green%28+x%5E2+%29\"$
It becomes $\"highlight_green%28+x%5E2+%29%2F2%2Bx%2F1%2A2-16=0\"$ .
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Look at $\"x%5E2%2F2%2Bx%2Fhighlight_red%28+1+%29%2A2-16=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1%2F1+%29\"$
It becomes $\"x%5E2%2F2%2Bx%2A2-16=0\"$ .
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Look at $\"highlight_red%28+x%5E2%2F2%2Bx%2A2-16+%29=0\"$ .
Equation $\"highlight_red%28+x%5E2%2F2%2Bx%2A2-16=0+%29\"$ is a quadratic equation: 0.5*x^2+2*x-16 =0, and has solutions 4,-8
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=4,x=-8.

Universal Simplifier and Solver

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Done!

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