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Simplifying 2xy(3x + 2) + -4xy(x + 4) = 0 Reorder the terms: 2xy(2 + 3x) + -4xy(x + 4) = 0 (2 * 2xy + 3x * 2xy) + -4xy(x + 4) = 0 (4xy + 6x2y) + -4xy(x + 4) = 0 Reorder the terms: 4xy + 6x2y + -4xy(4 + x) = 0 4xy + 6x2y + (4 * -4xy + x * -4xy) = 0 4xy + 6x2y + (-16xy + -4x2y) = 0 Reorder the terms: 4xy + -16xy + 6x2y + -4x2y = 0 Combine like terms: 4xy + -16xy = -12xy -12xy + 6x2y + -4x2y = 0 Combine like terms: 6x2y + -4x2y = 2x2y -12xy + 2x2y = 0 Solving -12xy + 2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-6 + x) = 0 Ignore the factor 2.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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {6}
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