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Simplifying 3x2y + 6xy2 + 15xy = 0 Reorder the terms: 15xy + 6xy2 + 3x2y = 0 Solving 15xy + 6xy2 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(5 + 2y + 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 '(5 + 2y + x)' equal to zero and attempt to solve: Simplifying 5 + 2y + x = 0 Reorder the terms: 5 + x + 2y = 0 Solving 5 + x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + x + -5 + 2y = 0 + -5 Reorder the terms: 5 + -5 + x + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x + 2y = 0 + -5 x + 2y = 0 + -5 Combine like terms: 0 + -5 = -5 x + 2y = -5 Add '-2y' to each side of the equation. x + 2y + -2y = -5 + -2y Combine like terms: 2y + -2y = 0 x + 0 = -5 + -2y x = -5 + -2y Simplifying x = -5 + -2ySolution
x = {-5 + -2y}
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