4x^2-27=x^2

Solution for 4x^2-27=x^2 equation:

Simplifying
4x2 + -27 = x2

Reorder the terms:
-27 + 4x2 = x2

Solving
-27 + 4x2 = 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.
-27 + 4x2 + -1x2 = x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-27 + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-27 + 3x2 = 0

Add '27' to each side of the equation.
-27 + 27 + 3x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 3x2 = 0 + 27
3x2 = 0 + 27

Combine like terms: 0 + 27 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}