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(5x-18)(4x+7)=360
We move all terms to the left:
(5x-18)(4x+7)-(360)=0
We multiply parentheses ..
(+20x^2+35x-72x-126)-360=0
We get rid of parentheses
20x^2+35x-72x-126-360=0
We add all the numbers together, and all the variables
20x^2-37x-486=0
a = 20; b = -37; c = -486;
Δ = b2-4ac
Δ = -372-4·20·(-486)
Δ = 40249
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-\sqrt{40249}}{2*20}=\frac{37-\sqrt{40249}}{40} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{40249}}{2*20}=\frac{37+\sqrt{40249}}{40} $
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