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Simplifying 6xy + -16x = 2x Reorder the terms: -16x + 6xy = 2x Solving -16x + 6xy = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16x + -2x + 6xy = 2x + -2x Combine like terms: -16x + -2x = -18x -18x + 6xy = 2x + -2x Combine like terms: 2x + -2x = 0 -18x + 6xy = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-3 + y) = 0 Ignore the factor 6.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 '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Add '-1y' to each side of the equation. y + -1y = 3 + -1y Combine like terms: y + -1y = 0 0 = 3 + -1y Simplifying 0 = 3 + -1y 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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