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Simplifying (2x + -1)(2x + -50x) = 0 Reorder the terms: (-1 + 2x)(2x + -50x) = 0 Combine like terms: 2x + -50x = -48x (-1 + 2x)(-48x) = 0 Remove parenthesis around (-48x) (-1 + 2x) * -48x = 0 Reorder the terms for easier multiplication: -48x(-1 + 2x) = 0 (-1 * -48x + 2x * -48x) = 0 (48x + -96x2) = 0 Solving 48x + -96x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '48x'. 48x(1 + -2x) = 0 Ignore the factor 48.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 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5}
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