6(4x-1)(4x+1)=

Solution for 6(4x-1)(4x+1)= equation:

Simplifying
6(4x + -1)(4x + 1) = 0

Reorder the terms:
6(-1 + 4x)(4x + 1) = 0

Reorder the terms:
6(-1 + 4x)(1 + 4x) = 0

Multiply (-1 + 4x) * (1 + 4x)
6(-1(1 + 4x) + 4x * (1 + 4x)) = 0
6((1 * -1 + 4x * -1) + 4x * (1 + 4x)) = 0
6((-1 + -4x) + 4x * (1 + 4x)) = 0
6(-1 + -4x + (1 * 4x + 4x * 4x)) = 0
6(-1 + -4x + (4x + 16x2)) = 0

Combine like terms: -4x + 4x = 0
6(-1 + 0 + 16x2) = 0
6(-1 + 16x2) = 0
(-1 * 6 + 16x2 * 6) = 0
(-6 + 96x2) = 0

Solving
-6 + 96x2 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '96'.
x2 = 0.0625

Simplifying
x2 = 0.0625

Take the square root of each side:
x = {-0.25, 0.25}