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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}
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