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(24x+9)(7x-15)=180
We move all terms to the left:
(24x+9)(7x-15)-(180)=0
We multiply parentheses ..
(+168x^2-360x+63x-135)-180=0
We get rid of parentheses
168x^2-360x+63x-135-180=0
We add all the numbers together, and all the variables
168x^2-297x-315=0
a = 168; b = -297; c = -315;
Δ = b2-4ac
Δ = -2972-4·168·(-315)
Δ = 299889
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{299889}=\sqrt{9*33321}=\sqrt{9}*\sqrt{33321}=3\sqrt{33321}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-297)-3\sqrt{33321}}{2*168}=\frac{297-3\sqrt{33321}}{336} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-297)+3\sqrt{33321}}{2*168}=\frac{297+3\sqrt{33321}}{336} $
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