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Simplifying 21x2y + -9xy2 + -30y3 = 0 Reorder the terms: -9xy2 + 21x2y + -30y3 = 0 Solving -9xy2 + 21x2y + -30y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-3xy + 7x2 + -10y2) = 0 Factor a trinomial. 3y((7x + -10y)(x + y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(7x + -10y)' equal to zero and attempt to solve: Simplifying 7x + -10y = 0 Solving 7x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 7x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 7x + 0 = 0 + 10y 7x = 0 + 10y Remove the zero: 7x = 10y Divide each side by '7'. x = 1.428571429y Simplifying x = 1.428571429ySubproblem 3
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {1.428571429y, -1y}
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