10x^2=-25x+125

Solution for 10x^2=-25x+125 equation:

10x^2=-25x+125

We move all terms to the left:

10x^2-(-25x+125)=0

We get rid of parentheses

10x^2+25x-125=0

a = 10; b = 25; c = -125;
Δ = b2-4ac
Δ = 252-4·10·(-125)
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-75}{2*10}=\frac{-100}{20}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+75}{2*10}=\frac{50}{20}
=2+1/2
$