-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 = -34
-2x2 = -34

Divide each side by '-2'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}