15x^2-100x=-125

Solution for 15x^2-100x=-125 equation:

15x^2-100x=-125

We move all terms to the left:

15x^2-100x-(-125)=0

We add all the numbers together, and all the variables

15x^2-100x+125=0

a = 15; b = -100; c = +125;
Δ = b2-4ac
Δ = -1002-4·15·125
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-50}{2*15}=\frac{50}{30}
=1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+50}{2*15}=\frac{150}{30}
=5
$