(3x-2)2=(x+1)(x+4)

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Solution for (3x-2)2=(x+1)(x+4) equation:



(3x-2)2=(x+1)(x+4)
We move all terms to the left:
(3x-2)2-((x+1)(x+4))=0
We multiply parentheses
6x-((x+1)(x+4))-4=0
We multiply parentheses ..
-((+x^2+4x+x+4))+6x-4=0
We calculate terms in parentheses: -((+x^2+4x+x+4)), so:
(+x^2+4x+x+4)
We get rid of parentheses
x^2+4x+x+4
We add all the numbers together, and all the variables
x^2+5x+4
Back to the equation:
-(x^2+5x+4)
We add all the numbers together, and all the variables
6x-(x^2+5x+4)-4=0
We get rid of parentheses
-x^2+6x-5x-4-4=0
We add all the numbers together, and all the variables
-1x^2+x-8=0
a = -1; b = 1; c = -8;
Δ = b2-4ac
Δ = 12-4·(-1)·(-8)
Δ = -31
Delta is less than zero, so there is no solution for the equation

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