13.5=6*x^2

Solution for 13.5=6*x^2 equation:

Simplifying
13.5 = 6x2

Solving
13.5 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
13.5 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
13.5 + -6x2 = 0

Add '-13.5' to each side of the equation.
13.5 + -13.5 + -6x2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -6x2 = 0 + -13.5
-6x2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
-6x2 = -13.5

Divide each side by '-6'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}