5x^2+75x=200

Solution for 5x^2+75x=200 equation:

5x^2+75x=200

We move all terms to the left:

5x^2+75x-(200)=0

a = 5; b = 75; c = -200;
Δ = b2-4ac
Δ = 752-4·5·(-200)
Δ = 9625
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:

$\sqrt{\Delta}=\sqrt{9625}=\sqrt{25*385}=\sqrt{25}*\sqrt{385}=5\sqrt{385}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-5\sqrt{385}}{2*5}=\frac{-75-5\sqrt{385}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+5\sqrt{385}}{2*5}=\frac{-75+5\sqrt{385}}{10}
$