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15x(20x+5)=180
We move all terms to the left:
15x(20x+5)-(180)=0
We multiply parentheses
300x^2+75x-180=0
a = 300; b = 75; c = -180;
Δ = b2-4ac
Δ = 752-4·300·(-180)
Δ = 221625
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{221625}=\sqrt{225*985}=\sqrt{225}*\sqrt{985}=15\sqrt{985}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-15\sqrt{985}}{2*300}=\frac{-75-15\sqrt{985}}{600} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+15\sqrt{985}}{2*300}=\frac{-75+15\sqrt{985}}{600} $
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