4x^2-200=-20

Solution for 4x^2-200=-20 equation:

Simplifying
4x2 + -200 = -20

Reorder the terms:
-200 + 4x2 = -20

Solving
-200 + 4x2 = -20

Solving for variable 'x'.

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

Add '200' to each side of the equation.
-200 + 200 + 4x2 = -20 + 200

Combine like terms: -200 + 200 = 0
0 + 4x2 = -20 + 200
4x2 = -20 + 200

Combine like terms: -20 + 200 = 180
4x2 = 180

Divide each side by '4'.
x2 = 45

Simplifying
x2 = 45

Take the square root of each side:
x = {-6.708203933, 6.708203933}