-7x=x^2-10

Solution for -7x=x^2-10 equation:

-7x=x^2-10

We move all terms to the left:

-7x-(x^2-10)=0

We get rid of parentheses

-x^2-7x+10=0

We add all the numbers together, and all the variables

-1x^2-7x+10=0

a = -1; b = -7; c = +10;
Δ = b2-4ac
Δ = -72-4·(-1)·10
Δ = 89
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{-(-7)-\sqrt{89}}{2*-1}=\frac{7-\sqrt{89}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{89}}{2*-1}=\frac{7+\sqrt{89}}{-2}
$