X^2=12.5x+37.5

Solution for X^2=12.5x+37.5 equation:

X^2=12.5X+37.5

We move all terms to the left:

X^2-(12.5X+37.5)=0

We get rid of parentheses

X^2-12.5X-37.5=0

a = 1; b = -12.5; c = -37.5;
Δ = b2-4ac
Δ = -12.52-4·1·(-37.5)
Δ = 306.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12.5)-\sqrt{306.25}}{2*1}=\frac{12.5-\sqrt{306.25}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.5)+\sqrt{306.25}}{2*1}=\frac{12.5+\sqrt{306.25}}{2}
$