4(x^2-9)=0

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

Simplifying
4(x2 + -9) = 0

Reorder the terms:
4(-9 + x2) = 0
(-9 * 4 + x2 * 4) = 0
(-36 + 4x2) = 0

Solving
-36 + 4x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 4x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4x2 = 0 + 36
4x2 = 0 + 36

Combine like terms: 0 + 36 = 36
4x2 = 36

Divide each side by '4'.
x2 = 9

Simplifying
x2 = 9

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