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Simplifying 5x2y + -6xy = 8xy + -3x2y + -10xy Reorder the terms: -6xy + 5x2y = 8xy + -3x2y + -10xy Reorder the terms: -6xy + 5x2y = 8xy + -10xy + -3x2y Combine like terms: 8xy + -10xy = -2xy -6xy + 5x2y = -2xy + -3x2y Solving -6xy + 5x2y = -2xy + -3x2y Solving for variable 'x'. Reorder the terms: -6xy + 2xy + 5x2y + 3x2y = -2xy + -3x2y + 2xy + 3x2y Combine like terms: -6xy + 2xy = -4xy -4xy + 5x2y + 3x2y = -2xy + -3x2y + 2xy + 3x2y Combine like terms: 5x2y + 3x2y = 8x2y -4xy + 8x2y = -2xy + -3x2y + 2xy + 3x2y Reorder the terms: -4xy + 8x2y = -2xy + 2xy + -3x2y + 3x2y Combine like terms: -2xy + 2xy = 0 -4xy + 8x2y = 0 + -3x2y + 3x2y -4xy + 8x2y = -3x2y + 3x2y Combine like terms: -3x2y + 3x2y = 0 -4xy + 8x2y = 0 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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