13x^2=x^2+27

Solution for 13x^2=x^2+27 equation:

Simplifying
13x2 = x2 + 27

Reorder the terms:
13x2 = 27 + x2

Solving
13x2 = 27 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
13x2 + -1x2 = 27 + x2 + -1x2

Combine like terms: 13x2 + -1x2 = 12x2
12x2 = 27 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12x2 = 27 + 0
12x2 = 27

Divide each side by '12'.
x2 = 2.25

Simplifying
x2 = 2.25

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