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(X+18)(5X-6)=180
We move all terms to the left:
(X+18)(5X-6)-(180)=0
We multiply parentheses ..
(+5X^2-6X+90X-108)-180=0
We get rid of parentheses
5X^2-6X+90X-108-180=0
We add all the numbers together, and all the variables
5X^2+84X-288=0
a = 5; b = 84; c = -288;
Δ = b2-4ac
Δ = 842-4·5·(-288)
Δ = 12816
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{12816}=\sqrt{144*89}=\sqrt{144}*\sqrt{89}=12\sqrt{89}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-12\sqrt{89}}{2*5}=\frac{-84-12\sqrt{89}}{10} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+12\sqrt{89}}{2*5}=\frac{-84+12\sqrt{89}}{10} $
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