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(5x+12)(7x-36)=180
We move all terms to the left:
(5x+12)(7x-36)-(180)=0
We multiply parentheses ..
(+35x^2-180x+84x-432)-180=0
We get rid of parentheses
35x^2-180x+84x-432-180=0
We add all the numbers together, and all the variables
35x^2-96x-612=0
a = 35; b = -96; c = -612;
Δ = b2-4ac
Δ = -962-4·35·(-612)
Δ = 94896
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{94896}=\sqrt{144*659}=\sqrt{144}*\sqrt{659}=12\sqrt{659}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-96)-12\sqrt{659}}{2*35}=\frac{96-12\sqrt{659}}{70} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-96)+12\sqrt{659}}{2*35}=\frac{96+12\sqrt{659}}{70} $
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