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(4x+15)(13x+7)=360
We move all terms to the left:
(4x+15)(13x+7)-(360)=0
We multiply parentheses ..
(+52x^2+28x+195x+105)-360=0
We get rid of parentheses
52x^2+28x+195x+105-360=0
We add all the numbers together, and all the variables
52x^2+223x-255=0
a = 52; b = 223; c = -255;
Δ = b2-4ac
Δ = 2232-4·52·(-255)
Δ = 102769
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{-(223)-\sqrt{102769}}{2*52}=\frac{-223-\sqrt{102769}}{104} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(223)+\sqrt{102769}}{2*52}=\frac{-223+\sqrt{102769}}{104} $
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