5x^2+24x+16=(5x+4)(x-4)

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Solution for 5x^2+24x+16=(5x+4)(x-4) equation:



5x^2+24x+16=(5x+4)(x-4)
We move all terms to the left:
5x^2+24x+16-((5x+4)(x-4))=0
We multiply parentheses ..
5x^2-((+5x^2-20x+4x-16))+24x+16=0
We calculate terms in parentheses: -((+5x^2-20x+4x-16)), so:
(+5x^2-20x+4x-16)
We get rid of parentheses
5x^2-20x+4x-16
We add all the numbers together, and all the variables
5x^2-16x-16
Back to the equation:
-(5x^2-16x-16)
We add all the numbers together, and all the variables
5x^2+24x-(5x^2-16x-16)+16=0
We get rid of parentheses
5x^2-5x^2+24x+16x+16+16=0
We add all the numbers together, and all the variables
40x+32=0
We move all terms containing x to the left, all other terms to the right
40x=-32
x=-32/40
x=-4/5

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