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(-4x-3)(-2x+6)=0
We multiply parentheses ..
(+8x^2-24x+6x-18)=0
We get rid of parentheses
8x^2-24x+6x-18=0
We add all the numbers together, and all the variables
8x^2-18x-18=0
a = 8; b = -18; c = -18;
Δ = b2-4ac
Δ = -182-4·8·(-18)
Δ = 900
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{900}=30$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-30}{2*8}=\frac{-12}{16} =-3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+30}{2*8}=\frac{48}{16} =3 $
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