6x^2-27=5x^2

Solution for 6x^2-27=5x^2 equation:

Simplifying
6x2 + -27 = 5x2

Reorder the terms:
-27 + 6x2 = 5x2

Solving
-27 + 6x2 = 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
-27 + 6x2 + -5x2 = 5x2 + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
-27 + 1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-27 + 1x2 = 0

Add '27' to each side of the equation.
-27 + 27 + 1x2 = 0 + 27

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

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

Divide each side by '1'.
x2 = 27

Simplifying
x2 = 27

Take the square root of each side:
x = {-5.196152423, 5.196152423}