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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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