SOLUTION: ln(4x + 4) + ln(6x - 6) = 0 has a positive solution for x. Enter the solution

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Question 308982: ln(4x + 4) + ln(6x - 6) = 0 has a positive solution for x. Enter the solution
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
it is actually very easy.



Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=1.02062072615966,x=-1.02062072615966.
  • Graphical form: Equation was fully solved.
  • Text form: (4x+4)*(6x-6)=1 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (4x+4)*(6x-6)=1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Moved these terms to the left highlight_green%28+-1+%29
It becomes .

Look at .
Expanded term %286%2Ax-6%29 by using associative property on %284%2Ax%2B4%29
It becomes .

Look at .
Expanded term 4%2Ax by using associative property on %286%2Ax-6%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes .

Look at .
Expanded term 4 by using associative property on %286%2Ax-6%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -25
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-24%2Ax+%29,highlight_red%28+24%2Ax+%29 replacing them with highlight_green%28+%28-24%2B24%29%2Ax+%29
It becomes .

Look at .
Since highlight_red%28+%28-24%2B24%29%2Ax+%29 has zero as a factor, it should be replaced with a zero

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .

Look at .
Equation highlight_red%28+24%2Ax%5E2-25=0+%29 is a quadratic equation: 24*x^2-25 =0, and has solutions 1.02062072615966,-1.02062072615966
It becomes .
Result:
This is an equation! Solutions: x=1.02062072615966,x=-1.02062072615966.

Universal Simplifier and Solver


Done!

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