-2x(20-8x)-(15-5x)=(4x-5)(4x-5)

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Solution for -2x(20-8x)-(15-5x)=(4x-5)(4x-5) equation:



-2x(20-8x)-(15-5x)=(4x-5)(4x-5)
We move all terms to the left:
-2x(20-8x)-(15-5x)-((4x-5)(4x-5))=0
We add all the numbers together, and all the variables
-2x(-8x+20)-(-5x+15)-((4x-5)(4x-5))=0
We multiply parentheses
16x^2-40x-(-5x+15)-((4x-5)(4x-5))=0
We get rid of parentheses
16x^2-40x+5x-((4x-5)(4x-5))-15=0
We multiply parentheses ..
16x^2-((+16x^2-20x-20x+25))-40x+5x-15=0
We calculate terms in parentheses: -((+16x^2-20x-20x+25)), so:
(+16x^2-20x-20x+25)
We get rid of parentheses
16x^2-20x-20x+25
We add all the numbers together, and all the variables
16x^2-40x+25
Back to the equation:
-(16x^2-40x+25)
We add all the numbers together, and all the variables
16x^2-35x-(16x^2-40x+25)-15=0
We get rid of parentheses
16x^2-16x^2-35x+40x-25-15=0
We add all the numbers together, and all the variables
5x-40=0
We move all terms containing x to the left, all other terms to the right
5x=40
x=40/5
x=8

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