x^2+12=5x^2

Solution for x^2+12=5x^2 equation:

Simplifying
x2 + 12 = 5x2

Reorder the terms:
12 + x2 = 5x2

Solving
12 + x2 = 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.
12 + x2 + -5x2 = 5x2 + -5x2

Combine like terms: x2 + -5x2 = -4x2
12 + -4x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
12 + -4x2 = 0

Add '-12' to each side of the equation.
12 + -12 + -4x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4x2 = 0 + -12
-4x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-4x2 = -12

Divide each side by '-4'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}