10=-7x+x^2

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

10=-7x+x^2

We move all terms to the left:

10-(-7x+x^2)=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}
$