(X-8)+x=x(2x-3)

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Solution for (X-8)+x=x(2x-3) equation:



(X-8)+X=X(2X-3)
We move all terms to the left:
(X-8)+X-(X(2X-3))=0
We add all the numbers together, and all the variables
X+(X-8)-(X(2X-3))=0
We get rid of parentheses
X+X-(X(2X-3))-8=0
We calculate terms in parentheses: -(X(2X-3)), so:
X(2X-3)
We multiply parentheses
2X^2-3X
Back to the equation:
-(2X^2-3X)
We add all the numbers together, and all the variables
2X-(2X^2-3X)-8=0
We get rid of parentheses
-2X^2+2X+3X-8=0
We add all the numbers together, and all the variables
-2X^2+5X-8=0
a = -2; b = 5; c = -8;
Δ = b2-4ac
Δ = 52-4·(-2)·(-8)
Δ = -39
Delta is less than zero, so there is no solution for the equation

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