4x^2-27=37

Solution for 4x^2-27=37 equation:

Simplifying
4x2 + -27 = 37

Reorder the terms:
-27 + 4x2 = 37

Solving
-27 + 4x2 = 37

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 4x2 = 37 + 27

Combine like terms: -27 + 27 = 0
0 + 4x2 = 37 + 27
4x2 = 37 + 27

Combine like terms: 37 + 27 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

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