-2x^2+20+22=4

Solution for -2x^2+20+22=4 equation:

Simplifying
-2x2 + 20 + 22 = 4

Reorder the terms:
20 + 22 + -2x2 = 4

Combine like terms: 20 + 22 = 42
42 + -2x2 = 4

Solving
42 + -2x2 = 4

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 = 4 + -42

Combine like terms: 42 + -42 = 0
0 + -2x2 = 4 + -42
-2x2 = 4 + -42

Combine like terms: 4 + -42 = -38
-2x2 = -38

Divide each side by '-2'.
x2 = 19

Simplifying
x2 = 19

Take the square root of each side:
x = {-4.358898944, 4.358898944}