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Simplifying 7x2y + -27xy2 + 18y3 = 0 Reorder the terms: -27xy2 + 7x2y + 18y3 = 0 Solving -27xy2 + 7x2y + 18y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(-27xy + 7x2 + 18y2) = 0 Factor a trinomial. y((x + -3y)(7x + -6y)) = 0Subproblem 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 '(x + -3y)' equal to zero and attempt to solve: Simplifying x + -3y = 0 Solving x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 = 0 + 3y x = 0 + 3y Remove the zero: x = 3y Simplifying x = 3ySubproblem 3
Set the factor '(7x + -6y)' equal to zero and attempt to solve: Simplifying 7x + -6y = 0 Solving 7x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 7x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 7x + 0 = 0 + 6y 7x = 0 + 6y Remove the zero: 7x = 6y Divide each side by '7'. x = 0.8571428571y Simplifying x = 0.8571428571ySolution
x = {3y, 0.8571428571y}
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