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Simplifying (4x + 1)(8x) = 0 Reorder the terms: (1 + 4x)(8x) = 0 Remove parenthesis around (8x) (1 + 4x) * 8x = 0 Reorder the terms for easier multiplication: 8x(1 + 4x) = 0 (1 * 8x + 4x * 8x) = 0 (8x + 32x2) = 0 Solving 8x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(1 + 4x) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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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