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4(x-0.8)x=4
We move all terms to the left:
4(x-0.8)x-(4)=0
We multiply parentheses
4x^2-3.2x-4=0
a = 4; b = -3.2; c = -4;
Δ = b2-4ac
Δ = -3.22-4·4·(-4)
Δ = 74.24
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3.2)-\sqrt{74.24}}{2*4}=\frac{3.2-\sqrt{74.24}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.2)+\sqrt{74.24}}{2*4}=\frac{3.2+\sqrt{74.24}}{8} $
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