x^2=5x+36x2=5x+36

Solution for x^2=5x+36x2=5x+36 equation:

x^2=5x+36x^2=5x+36

We move all terms to the left:

x^2-(5x+36x^2)=0

We get rid of parentheses

x^2-36x^2-5x=0

We add all the numbers together, and all the variables

-35x^2-5x=0

a = -35; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·(-35)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*-35}=\frac{0}{-70}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*-35}=\frac{10}{-70}
=-1/7
$