2x^2+42=92

Solution for 2x^2+42=92 equation:

Simplifying
2x2 + 42 = 92

Reorder the terms:
42 + 2x2 = 92

Solving
42 + 2x2 = 92

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 2x2 = 92 + -42

Combine like terms: 42 + -42 = 0
0 + 2x2 = 92 + -42
2x2 = 92 + -42

Combine like terms: 92 + -42 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

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