6(x-4)(x+4)=0

Solution for 6(x-4)(x+4)=0 equation:

Simplifying
6(x + -4)(x + 4) = 0

Reorder the terms:
6(-4 + x)(x + 4) = 0

Reorder the terms:
6(-4 + x)(4 + x) = 0

Multiply (-4 + x) * (4 + x)
6(-4(4 + x) + x(4 + x)) = 0
6((4 * -4 + x * -4) + x(4 + x)) = 0
6((-16 + -4x) + x(4 + x)) = 0
6(-16 + -4x + (4 * x + x * x)) = 0
6(-16 + -4x + (4x + x2)) = 0

Combine like terms: -4x + 4x = 0
6(-16 + 0 + x2) = 0
6(-16 + x2) = 0
(-16 * 6 + x2 * 6) = 0
(-96 + 6x2) = 0

Solving
-96 + 6x2 = 0

Solving for variable 'x'.

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

Add '96' to each side of the equation.
-96 + 96 + 6x2 = 0 + 96

Combine like terms: -96 + 96 = 0
0 + 6x2 = 0 + 96
6x2 = 0 + 96

Combine like terms: 0 + 96 = 96
6x2 = 96

Divide each side by '6'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}