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Simplifying 6x2y + -40xy2 + 56y3 = 0 Reorder the terms: -40xy2 + 6x2y + 56y3 = 0 Solving -40xy2 + 6x2y + 56y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-20xy + 3x2 + 28y2) = 0 Factor a trinomial. 2y((3x + -14y)(x + -2y)) = 0 Ignore the factor 2.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 '(3x + -14y)' equal to zero and attempt to solve: Simplifying 3x + -14y = 0 Solving 3x + -14y = 0 Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. 3x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 3x + 0 = 0 + 14y 3x = 0 + 14y Remove the zero: 3x = 14y Divide each side by '3'. x = 4.666666667y Simplifying x = 4.666666667ySubproblem 3
Set the factor '(x + -2y)' equal to zero and attempt to solve: Simplifying x + -2y = 0 Solving x + -2y = 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 = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2ySolution
x = {4.666666667y, 2y}
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