x^2+12-61=0

Solution for x^2+12-61=0 equation:

Simplifying
x2 + 12 + -61 = 0

Reorder the terms:
12 + -61 + x2 = 0

Combine like terms: 12 + -61 = -49
-49 + x2 = 0

Solving
-49 + x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + x2 = 0 + 49
x2 = 0 + 49

Combine like terms: 0 + 49 = 49
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}