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Simplifying 5x + -3x + 2xy + 31x + -18xy = 0 Reorder the terms: 5x + -3x + 31x + 2xy + -18xy = 0 Combine like terms: 5x + -3x = 2x 2x + 31x + 2xy + -18xy = 0 Combine like terms: 2x + 31x = 33x 33x + 2xy + -18xy = 0 Combine like terms: 2xy + -18xy = -16xy 33x + -16xy = 0 Solving 33x + -16xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(33 + -16y) = 0Subproblem 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 '(33 + -16y)' equal to zero and attempt to solve: Simplifying 33 + -16y = 0 Solving 33 + -16y = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -16y = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -16y = 0 + -33 -16y = 0 + -33 Combine like terms: 0 + -33 = -33 -16y = -33 Add '16y' to each side of the equation. -16y + 16y = -33 + 16y Combine like terms: -16y + 16y = 0 0 = -33 + 16y Simplifying 0 = -33 + 16y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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