12+x^2=3(x^2+4)

Solution for 12+x^2=3(x^2+4) equation:

Simplifying
12 + x2 = 3(x2 + 4)

Reorder the terms:
12 + x2 = 3(4 + x2)
12 + x2 = (4 * 3 + x2 * 3)
12 + x2 = (12 + 3x2)

Add '-12' to each side of the equation.
12 + -12 + x2 = 12 + -12 + 3x2

Combine like terms: 12 + -12 = 0
0 + x2 = 12 + -12 + 3x2
x2 = 12 + -12 + 3x2

Combine like terms: 12 + -12 = 0
x2 = 0 + 3x2
x2 = 3x2

Solving
x2 = 3x2

Solving for variable 'x'.

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

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

Combine like terms: x2 + -3x2 = -2x2
-2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2x2 = 0

Divide each side by '-2'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}