9x^2+3=4(3x^2-6)

Solution for 9x^2+3=4(3x^2-6) equation:

Simplifying
9x2 + 3 = 4(3x2 + -6)

Reorder the terms:
3 + 9x2 = 4(3x2 + -6)

Reorder the terms:
3 + 9x2 = 4(-6 + 3x2)
3 + 9x2 = (-6 * 4 + 3x2 * 4)
3 + 9x2 = (-24 + 12x2)

Solving
3 + 9x2 = -24 + 12x2

Solving for variable 'x'.

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

Add '-12x2' to each side of the equation.
3 + 9x2 + -12x2 = -24 + 12x2 + -12x2

Combine like terms: 9x2 + -12x2 = -3x2
3 + -3x2 = -24 + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
3 + -3x2 = -24 + 0
3 + -3x2 = -24

Add '-3' to each side of the equation.
3 + -3 + -3x2 = -24 + -3

Combine like terms: 3 + -3 = 0
0 + -3x2 = -24 + -3
-3x2 = -24 + -3

Combine like terms: -24 + -3 = -27
-3x2 = -27

Divide each side by '-3'.
x2 = 9

Simplifying
x2 = 9

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