x^2+x-69=x-5

Solution for x^2+x-69=x-5 equation:

Simplifying
x2 + x + -69 = x + -5

Reorder the terms:
-69 + x + x2 = x + -5

Reorder the terms:
-69 + x + x2 = -5 + x

Add '-1x' to each side of the equation.
-69 + x + -1x + x2 = -5 + x + -1x

Combine like terms: x + -1x = 0
-69 + 0 + x2 = -5 + x + -1x
-69 + x2 = -5 + x + -1x

Combine like terms: x + -1x = 0
-69 + x2 = -5 + 0
-69 + x2 = -5

Solving
-69 + x2 = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '69' to each side of the equation.
-69 + 69 + x2 = -5 + 69

Combine like terms: -69 + 69 = 0
0 + x2 = -5 + 69
x2 = -5 + 69

Combine like terms: -5 + 69 = 64
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}