2x^2-42=8

Solution for 2x^2-42=8 equation:

Simplifying
2x2 + -42 = 8

Reorder the terms:
-42 + 2x2 = 8

Solving
-42 + 2x2 = 8

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 = 8 + 42

Combine like terms: -42 + 42 = 0
0 + 2x2 = 8 + 42
2x2 = 8 + 42

Combine like terms: 8 + 42 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

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