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2.4x(3-2x)-0.4(2x-2)=0
We add all the numbers together, and all the variables
2.4x(-2x+3)-0.4(2x-2)=0
We multiply parentheses
-4x^2+6x-0.8x+0.8=0
We add all the numbers together, and all the variables
-4x^2+5.2x+0.8=0
a = -4; b = 5.2; c = +0.8;
Δ = b2-4ac
Δ = 5.22-4·(-4)·0.8
Δ = 39.84
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{-(5.2)-\sqrt{39.84}}{2*-4}=\frac{-5.2-\sqrt{39.84}}{-8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.2)+\sqrt{39.84}}{2*-4}=\frac{-5.2+\sqrt{39.84}}{-8} $
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