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(X+18)(5X-6)=90
We move all terms to the left:
(X+18)(5X-6)-(90)=0
We multiply parentheses ..
(+5X^2-6X+90X-108)-90=0
We get rid of parentheses
5X^2-6X+90X-108-90=0
We add all the numbers together, and all the variables
5X^2+84X-198=0
a = 5; b = 84; c = -198;
Δ = b2-4ac
Δ = 842-4·5·(-198)
Δ = 11016
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{11016}=\sqrt{324*34}=\sqrt{324}*\sqrt{34}=18\sqrt{34}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-18\sqrt{34}}{2*5}=\frac{-84-18\sqrt{34}}{10} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+18\sqrt{34}}{2*5}=\frac{-84+18\sqrt{34}}{10} $
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