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Simplifying 2xy(4x + -2) = 0 Reorder the terms: 2xy(-2 + 4x) = 0 (-2 * 2xy + 4x * 2xy) = 0 (-4xy + 8x2y) = 0 Solving -4xy + 8x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(-1 + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = {0.5}
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