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(15x-2)(7x+4)=180
We move all terms to the left:
(15x-2)(7x+4)-(180)=0
We multiply parentheses ..
(+105x^2+60x-14x-8)-180=0
We get rid of parentheses
105x^2+60x-14x-8-180=0
We add all the numbers together, and all the variables
105x^2+46x-188=0
a = 105; b = 46; c = -188;
Δ = b2-4ac
Δ = 462-4·105·(-188)
Δ = 81076
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{81076}=\sqrt{4*20269}=\sqrt{4}*\sqrt{20269}=2\sqrt{20269}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(46)-2\sqrt{20269}}{2*105}=\frac{-46-2\sqrt{20269}}{210} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(46)+2\sqrt{20269}}{2*105}=\frac{-46+2\sqrt{20269}}{210} $
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