x^2-29+x^2-51=48

Solution for x^2-29+x^2-51=48 equation:

Simplifying
x2 + -29 + x2 + -51 = 48

Reorder the terms:
-29 + -51 + x2 + x2 = 48

Combine like terms: -29 + -51 = -80
-80 + x2 + x2 = 48

Combine like terms: x2 + x2 = 2x2
-80 + 2x2 = 48

Solving
-80 + 2x2 = 48

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 2x2 = 48 + 80

Combine like terms: -80 + 80 = 0
0 + 2x2 = 48 + 80
2x2 = 48 + 80

Combine like terms: 48 + 80 = 128
2x2 = 128

Divide each side by '2'.
x2 = 64

Simplifying
x2 = 64

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