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-2x(3x-4)=4x
We move all terms to the left:
-2x(3x-4)-(4x)=0
We add all the numbers together, and all the variables
-4x-2x(3x-4)=0
We multiply parentheses
-6x^2-4x+8x=0
We add all the numbers together, and all the variables
-6x^2+4x=0
a = -6; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-6)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{16}=4$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-6}=\frac{-8}{-12} =2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-6}=\frac{0}{-12} =0 $
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