2(x*2-19)=(2x+7)(x-4)

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Solution for 2(x*2-19)=(2x+7)(x-4) equation:



2(x*2-19)=(2x+7)(x-4)
We move all terms to the left:
2(x*2-19)-((2x+7)(x-4))=0
We multiply parentheses
4x-((2x+7)(x-4))-38=0
We multiply parentheses ..
-((+2x^2-8x+7x-28))+4x-38=0
We calculate terms in parentheses: -((+2x^2-8x+7x-28)), so:
(+2x^2-8x+7x-28)
We get rid of parentheses
2x^2-8x+7x-28
We add all the numbers together, and all the variables
2x^2-1x-28
Back to the equation:
-(2x^2-1x-28)
We add all the numbers together, and all the variables
4x-(2x^2-1x-28)-38=0
We get rid of parentheses
-2x^2+4x+1x+28-38=0
We add all the numbers together, and all the variables
-2x^2+5x-10=0
a = -2; b = 5; c = -10;
Δ = b2-4ac
Δ = 52-4·(-2)·(-10)
Δ = -55
Delta is less than zero, so there is no solution for the equation

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