5x^2-36=-11

Solution for 5x^2-36=-11 equation:

Simplifying
5x2 + -36 = -11

Reorder the terms:
-36 + 5x2 = -11

Solving
-36 + 5x2 = -11

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 5x2 = -11 + 36

Combine like terms: -36 + 36 = 0
0 + 5x2 = -11 + 36
5x2 = -11 + 36

Combine like terms: -11 + 36 = 25
5x2 = 25

Divide each side by '5'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}