(2x-)-4(x-5)=(1-2x)(x-1)

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Solution for (2x-)-4(x-5)=(1-2x)(x-1) equation:



(2x-)-4(x-5)=(1-2x)(x-1)
We move all terms to the left:
(2x-)-4(x-5)-((1-2x)(x-1))=0
We add all the numbers together, and all the variables
(+2x)-4(x-5)-((-2x+1)(x-1))=0
We multiply parentheses
(+2x)-4x-((-2x+1)(x-1))+20=0
We get rid of parentheses
2x-4x-((-2x+1)(x-1))+20=0
We multiply parentheses ..
-((-2x^2+2x+x-1))+2x-4x+20=0
We calculate terms in parentheses: -((-2x^2+2x+x-1)), so:
(-2x^2+2x+x-1)
We get rid of parentheses
-2x^2+2x+x-1
We add all the numbers together, and all the variables
-2x^2+3x-1
Back to the equation:
-(-2x^2+3x-1)
We add all the numbers together, and all the variables
-(-2x^2+3x-1)-2x+20=0
We get rid of parentheses
2x^2-3x-2x+1+20=0
We add all the numbers together, and all the variables
2x^2-5x+21=0
a = 2; b = -5; c = +21;
Δ = b2-4ac
Δ = -52-4·2·21
Δ = -143
Delta is less than zero, so there is no solution for the equation

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