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Simplifying (3xy + -1y)(3xy + -1y) = 0 Multiply (3xy + -1y) * (3xy + -1y) (3xy * (3xy + -1y) + -1y * (3xy + -1y)) = 0 ((3xy * 3xy + -1y * 3xy) + -1y * (3xy + -1y)) = 0 Reorder the terms: ((-3xy2 + 9x2y2) + -1y * (3xy + -1y)) = 0 ((-3xy2 + 9x2y2) + -1y * (3xy + -1y)) = 0 (-3xy2 + 9x2y2 + (3xy * -1y + -1y * -1y)) = 0 (-3xy2 + 9x2y2 + (-3xy2 + 1y2)) = 0 Reorder the terms: (-3xy2 + -3xy2 + 9x2y2 + 1y2) = 0 Combine like terms: -3xy2 + -3xy2 = -6xy2 (-6xy2 + 9x2y2 + 1y2) = 0 Solving -6xy2 + 9x2y2 + 1y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-6x + 9x2 + 1) = 0 Factor a trinomial. y2((3x + -1)(3x + -1)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 + -1)' equal to zero and attempt to solve: Simplifying 3x + -1 = 0 Reorder the terms: -1 + 3x = 0 Solving -1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 3
Set the factor '(3x + -1)' equal to zero and attempt to solve: Simplifying 3x + -1 = 0 Reorder the terms: -1 + 3x = 0 Solving -1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0.3333333333, 0.3333333333}
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