4x^2-82=-18

Solution for 4x^2-82=-18 equation:

Simplifying
4x2 + -82 = -18

Reorder the terms:
-82 + 4x2 = -18

Solving
-82 + 4x2 = -18

Solving for variable 'x'.

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

Add '82' to each side of the equation.
-82 + 82 + 4x2 = -18 + 82

Combine like terms: -82 + 82 = 0
0 + 4x2 = -18 + 82
4x2 = -18 + 82

Combine like terms: -18 + 82 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}