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Simplifying 5x2y + 15xy3 + 10xy2 = 0 Reorder the terms: 10xy2 + 15xy3 + 5x2y = 0 Solving 10xy2 + 15xy3 + 5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5xy'. 5xy(2y + 3y2 + x) = 0 Ignore the factor 5.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 '(2y + 3y2 + x)' equal to zero and attempt to solve: Simplifying 2y + 3y2 + x = 0 Reorder the terms: x + 2y + 3y2 = 0 Solving x + 2y + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y + 3y2 = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 + 3y2 = 0 + -2y x + 3y2 = 0 + -2y Remove the zero: x + 3y2 = -2y Add '-3y2' to each side of the equation. x + 3y2 + -3y2 = -2y + -3y2 Combine like terms: 3y2 + -3y2 = 0 x + 0 = -2y + -3y2 x = -2y + -3y2 Simplifying x = -2y + -3y2Solution
x = {-2y + -3y2}
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