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(25x)(30x-15)=180
We move all terms to the left:
(25x)(30x-15)-(180)=0
We multiply parentheses
750x^2-375x-180=0
a = 750; b = -375; c = -180;
Δ = b2-4ac
Δ = -3752-4·750·(-180)
Δ = 680625
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{680625}=825$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-375)-825}{2*750}=\frac{-450}{1500} =-3/10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-375)+825}{2*750}=\frac{1200}{1500} =4/5 $
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