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Simplifying 0 = 9xy2 + 6xy + -5x Reorder the terms: 0 = -5x + 6xy + 9xy2 Solving 0 = -5x + 6xy + 9xy2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 0 + 5x = -5x + 6xy + 5x + 9xy2 Remove the zero: 5x = -5x + 6xy + 5x + 9xy2 Reorder the terms: 5x = -5x + 5x + 6xy + 9xy2 Combine like terms: -5x + 5x = 0 5x = 0 + 6xy + 9xy2 5x = 6xy + 9xy2 Add '-6xy' to each side of the equation. 5x + -6xy = 6xy + -6xy + 9xy2 Combine like terms: 6xy + -6xy = 0 5x + -6xy = 0 + 9xy2 5x + -6xy = 9xy2 Add '-9xy2' to each side of the equation. 5x + -6xy + -9xy2 = 9xy2 + -9xy2 Combine like terms: 9xy2 + -9xy2 = 0 5x + -6xy + -9xy2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -6y + -9y2) = 0Subproblem 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 '(5 + -6y + -9y2)' equal to zero and attempt to solve: Simplifying 5 + -6y + -9y2 = 0 Solving 5 + -6y + -9y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -6y + -5 + -9y2 = 0 + -5 Reorder the terms: 5 + -5 + -6y + -9y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y + -9y2 = 0 + -5 -6y + -9y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -6y + -9y2 = -5 Add '6y' to each side of the equation. -6y + 6y + -9y2 = -5 + 6y Combine like terms: -6y + 6y = 0 0 + -9y2 = -5 + 6y -9y2 = -5 + 6y Add '9y2' to each side of the equation. -9y2 + 9y2 = -5 + 6y + 9y2 Combine like terms: -9y2 + 9y2 = 0 0 = -5 + 6y + 9y2 Simplifying 0 = -5 + 6y + 9y2 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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