5x^2+31=111

Solution for 5x^2+31=111 equation:

Simplifying
5x2 + 31 = 111

Reorder the terms:
31 + 5x2 = 111

Solving
31 + 5x2 = 111

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + 5x2 = 111 + -31

Combine like terms: 31 + -31 = 0
0 + 5x2 = 111 + -31
5x2 = 111 + -31

Combine like terms: 111 + -31 = 80
5x2 = 80

Divide each side by '5'.
x2 = 16

Simplifying
x2 = 16

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