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(4x+6)(6x-6)=180
We move all terms to the left:
(4x+6)(6x-6)-(180)=0
We multiply parentheses ..
(+24x^2-24x+36x-36)-180=0
We get rid of parentheses
24x^2-24x+36x-36-180=0
We add all the numbers together, and all the variables
24x^2+12x-216=0
a = 24; b = 12; c = -216;
Δ = b2-4ac
Δ = 122-4·24·(-216)
Δ = 20880
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{20880}=\sqrt{144*145}=\sqrt{144}*\sqrt{145}=12\sqrt{145}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12\sqrt{145}}{2*24}=\frac{-12-12\sqrt{145}}{48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12\sqrt{145}}{2*24}=\frac{-12+12\sqrt{145}}{48} $
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