X^2-15x=-30

Solution for X^2-15x=-30 equation:

X^2-15X=-30

We move all terms to the left:

X^2-15X-(-30)=0

We add all the numbers together, and all the variables

X^2-15X+30=0

a = 1; b = -15; c = +30;
Δ = b2-4ac
Δ = -152-4·1·30
Δ = 105
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{-(-15)-\sqrt{105}}{2*1}=\frac{15-\sqrt{105}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{105}}{2*1}=\frac{15+\sqrt{105}}{2}
$