5x^2+42=2x^2+117

Solution for 5x^2+42=2x^2+117 equation:

Simplifying
5x2 + 42 = 2x2 + 117

Reorder the terms:
42 + 5x2 = 2x2 + 117

Reorder the terms:
42 + 5x2 = 117 + 2x2

Solving
42 + 5x2 = 117 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
42 + 5x2 + -2x2 = 117 + 2x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
42 + 3x2 = 117 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
42 + 3x2 = 117 + 0
42 + 3x2 = 117

Add '-42' to each side of the equation.
42 + -42 + 3x2 = 117 + -42

Combine like terms: 42 + -42 = 0
0 + 3x2 = 117 + -42
3x2 = 117 + -42

Combine like terms: 117 + -42 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}