8(9x^2-4)=0

Solution for 8(9x^2-4)=0 equation:

Simplifying
8(9x2 + -4) = 0

Reorder the terms:
8(-4 + 9x2) = 0
(-4 * 8 + 9x2 * 8) = 0
(-32 + 72x2) = 0

Solving
-32 + 72x2 = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 72x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 72x2 = 0 + 32
72x2 = 0 + 32

Combine like terms: 0 + 32 = 32
72x2 = 32

Divide each side by '72'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

Take the square root of each side:
x = {-0.666666667, 0.666666667}