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6(x-12)(3x-12)=720
We move all terms to the left:
6(x-12)(3x-12)-(720)=0
We multiply parentheses ..
6(+3x^2-12x-36x+144)-720=0
We multiply parentheses
18x^2-72x-216x+864-720=0
We add all the numbers together, and all the variables
18x^2-288x+144=0
a = 18; b = -288; c = +144;
Δ = b2-4ac
Δ = -2882-4·18·144
Δ = 72576
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{72576}=\sqrt{5184*14}=\sqrt{5184}*\sqrt{14}=72\sqrt{14}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-288)-72\sqrt{14}}{2*18}=\frac{288-72\sqrt{14}}{36} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-288)+72\sqrt{14}}{2*18}=\frac{288+72\sqrt{14}}{36} $
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