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5+4x(3-2x)=5x-7x+16
We move all terms to the left:
5+4x(3-2x)-(5x-7x+16)=0
We add all the numbers together, and all the variables
4x(-2x+3)-(-2x+16)+5=0
We multiply parentheses
-8x^2+12x-(-2x+16)+5=0
We get rid of parentheses
-8x^2+12x+2x-16+5=0
We add all the numbers together, and all the variables
-8x^2+14x-11=0
a = -8; b = 14; c = -11;
Δ = b2-4ac
Δ = 142-4·(-8)·(-11)
Δ = -156
Delta is less than zero, so there is no solution for the equation
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