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Simplifying x(2x)(-4x + 1) = 0 Remove parenthesis around (2x) x * 2x(-4x + 1) = 0 Reorder the terms: x * 2x(1 + -4x) = 0 Reorder the terms for easier multiplication: 2x * x(1 + -4x) = 0 Multiply x * x 2x2(1 + -4x) = 0 (1 * 2x2 + -4x * 2x2) = 0 (2x2 + -8x3) = 0 Solving 2x2 + -8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(1 + -4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 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, 0.25}
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