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Simplifying 3x2y + 15xy2 + 12xy = 0 Reorder the terms: 12xy + 15xy2 + 3x2y = 0 Solving 12xy + 15xy2 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(4 + 5y + x) = 0 Ignore the factor 3.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 '(4 + 5y + x)' equal to zero and attempt to solve: Simplifying 4 + 5y + x = 0 Reorder the terms: 4 + x + 5y = 0 Solving 4 + x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + x + -4 + 5y = 0 + -4 Reorder the terms: 4 + -4 + x + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + 5y = 0 + -4 x + 5y = 0 + -4 Combine like terms: 0 + -4 = -4 x + 5y = -4 Add '-5y' to each side of the equation. x + 5y + -5y = -4 + -5y Combine like terms: 5y + -5y = 0 x + 0 = -4 + -5y x = -4 + -5y Simplifying x = -4 + -5ySolution
x = {-4 + -5y}
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