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(4x+8)(-4x)=0
We multiply parentheses ..
(-16x^2-32x)=0
We get rid of parentheses
-16x^2-32x=0
a = -16; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·(-16)·0
Δ = 1024
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{1024}=32$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*-16}=\frac{0}{-32} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*-16}=\frac{64}{-32} =-2 $
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