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-4x(2x-7)=3(52-4x)
We move all terms to the left:
-4x(2x-7)-(3(52-4x))=0
We add all the numbers together, and all the variables
-4x(2x-7)-(3(-4x+52))=0
We multiply parentheses
-8x^2+28x-(3(-4x+52))=0
We calculate terms in parentheses: -(3(-4x+52)), so:We get rid of parentheses
3(-4x+52)
We multiply parentheses
-12x+156
Back to the equation:
-(-12x+156)
-8x^2+28x+12x-156=0
We add all the numbers together, and all the variables
-8x^2+40x-156=0
a = -8; b = 40; c = -156;
Δ = b2-4ac
Δ = 402-4·(-8)·(-156)
Δ = -3392
Delta is less than zero, so there is no solution for the equation
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