4x^2-83=401

Solution for 4x^2-83=401 equation:

Simplifying
4x2 + -83 = 401

Reorder the terms:
-83 + 4x2 = 401

Solving
-83 + 4x2 = 401

Solving for variable 'x'.

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

Add '83' to each side of the equation.
-83 + 83 + 4x2 = 401 + 83

Combine like terms: -83 + 83 = 0
0 + 4x2 = 401 + 83
4x2 = 401 + 83

Combine like terms: 401 + 83 = 484
4x2 = 484

Divide each side by '4'.
x2 = 121

Simplifying
x2 = 121

Take the square root of each side:
x = {-11, 11}