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Simplifying (-4x + 1)(-4x + 1) = 0 Reorder the terms: (1 + -4x)(-4x + 1) = 0 Reorder the terms: (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 = -8x (1 + -8x + 16x2) = 0 Solving 1 + -8x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -4x)(1 + -4x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {0.25, 0.25}
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