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5x(10x+15)=750
We move all terms to the left:
5x(10x+15)-(750)=0
We multiply parentheses
50x^2+75x-750=0
a = 50; b = 75; c = -750;
Δ = b2-4ac
Δ = 752-4·50·(-750)
Δ = 155625
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{155625}=\sqrt{625*249}=\sqrt{625}*\sqrt{249}=25\sqrt{249}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-25\sqrt{249}}{2*50}=\frac{-75-25\sqrt{249}}{100} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+25\sqrt{249}}{2*50}=\frac{-75+25\sqrt{249}}{100} $
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