3(4x^2-9)=0

Solution for 3(4x^2-9)=0 equation:

Simplifying
3(4x2 + -9) = 0

Reorder the terms:
3(-9 + 4x2) = 0
(-9 * 3 + 4x2 * 3) = 0
(-27 + 12x2) = 0

Solving
-27 + 12x2 = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 12x2 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 12x2 = 0 + 27
12x2 = 0 + 27

Combine like terms: 0 + 27 = 27
12x2 = 27

Divide each side by '12'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}