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3x(5x-72)=180
We move all terms to the left:
3x(5x-72)-(180)=0
We multiply parentheses
15x^2-216x-180=0
a = 15; b = -216; c = -180;
Δ = b2-4ac
Δ = -2162-4·15·(-180)
Δ = 57456
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{57456}=\sqrt{144*399}=\sqrt{144}*\sqrt{399}=12\sqrt{399}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-216)-12\sqrt{399}}{2*15}=\frac{216-12\sqrt{399}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-216)+12\sqrt{399}}{2*15}=\frac{216+12\sqrt{399}}{30} $
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