5x2-75x=380

Solution for 5x2-75x=380 equation:

5x^2-75x=380

We move all terms to the left:

5x^2-75x-(380)=0

a = 5; b = -75; c = -380;
Δ = b2-4ac
Δ = -752-4·5·(-380)
Δ = 13225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13225}=115$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-115}{2*5}=\frac{-40}{10}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+115}{2*5}=\frac{190}{10}
=19
$