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Simplifying (4x2) + -1(2x) = 0 Remove parenthesis around (2x) (4x2) + -1 * 2x = 0 Multiply -1 * 2 (4x2) + -2x = 0 Reorder the terms: -2x + (4x2) = 0 Solving -2x + (4x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + (2x)) = 0 Ignore the factor 2.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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