.25x^2-27=37

Solution for .25x^2-27=37 equation:

Simplifying
0.25x2 + -27 = 37

Reorder the terms:
-27 + 0.25x2 = 37

Solving
-27 + 0.25x2 = 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 + 0.25x2 = 37 + 27

Combine like terms: -27 + 27 = 0
0 + 0.25x2 = 37 + 27
0.25x2 = 37 + 27

Combine like terms: 37 + 27 = 64
0.25x2 = 64

Divide each side by '0.25'.
x2 = 256

Simplifying
x2 = 256

Take the square root of each side:
x = {-16, 16}