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(3x-2)(5x+6)=180
We move all terms to the left:
(3x-2)(5x+6)-(180)=0
We multiply parentheses ..
(+15x^2+18x-10x-12)-180=0
We get rid of parentheses
15x^2+18x-10x-12-180=0
We add all the numbers together, and all the variables
15x^2+8x-192=0
a = 15; b = 8; c = -192;
Δ = b2-4ac
Δ = 82-4·15·(-192)
Δ = 11584
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{11584}=\sqrt{64*181}=\sqrt{64}*\sqrt{181}=8\sqrt{181}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8\sqrt{181}}{2*15}=\frac{-8-8\sqrt{181}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8\sqrt{181}}{2*15}=\frac{-8+8\sqrt{181}}{30} $
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