4x^2+37=137

Solution for 4x^2+37=137 equation:

Simplifying
4x2 + 37 = 137

Reorder the terms:
37 + 4x2 = 137

Solving
37 + 4x2 = 137

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + 4x2 = 137 + -37

Combine like terms: 37 + -37 = 0
0 + 4x2 = 137 + -37
4x2 = 137 + -37

Combine like terms: 137 + -37 = 100
4x2 = 100

Divide each side by '4'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}