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

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

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

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

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

Solving
1 + -16x2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -16x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -16x2 = 0 + -1
-16x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-16x2 = -1

Divide each side by '-16'.
x2 = 0.0625

Simplifying
x2 = 0.0625

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