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Simplifying 54xy + -18x + -12xy = 0 Reorder the terms: -18x + 54xy + -12xy = 0 Combine like terms: 54xy + -12xy = 42xy -18x + 42xy = 0 Solving -18x + 42xy = 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), '6x'. 6x(-3 + 7y) = 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 + 7y)' equal to zero and attempt to solve: Simplifying -3 + 7y = 0 Solving -3 + 7y = 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 + 7y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7y = 0 + 3 7y = 0 + 3 Combine like terms: 0 + 3 = 3 7y = 3 Add '-7y' to each side of the equation. 7y + -7y = 3 + -7y Combine like terms: 7y + -7y = 0 0 = 3 + -7y Simplifying 0 = 3 + -7y 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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