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(2x-6)(x+6)=720
We move all terms to the left:
(2x-6)(x+6)-(720)=0
We multiply parentheses ..
(+2x^2+12x-6x-36)-720=0
We get rid of parentheses
2x^2+12x-6x-36-720=0
We add all the numbers together, and all the variables
2x^2+6x-756=0
a = 2; b = 6; c = -756;
Δ = b2-4ac
Δ = 62-4·2·(-756)
Δ = 6084
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{6084}=78$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-78}{2*2}=\frac{-84}{4} =-21 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+78}{2*2}=\frac{72}{4} =18 $
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