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Simplifying (6xy2 + -1xy)(6xy2 + xy) = 0 Reorder the terms: (-1xy + 6xy2)(6xy2 + xy) = 0 Reorder the terms: (-1xy + 6xy2)(xy + 6xy2) = 0 Multiply (-1xy + 6xy2) * (xy + 6xy2) (-1xy * (xy + 6xy2) + 6xy2 * (xy + 6xy2)) = 0 ((xy * -1xy + 6xy2 * -1xy) + 6xy2 * (xy + 6xy2)) = 0 ((-1x2y2 + -6x2y3) + 6xy2 * (xy + 6xy2)) = 0 (-1x2y2 + -6x2y3 + (xy * 6xy2 + 6xy2 * 6xy2)) = 0 (-1x2y2 + -6x2y3 + (6x2y3 + 36x2y4)) = 0 Combine like terms: -6x2y3 + 6x2y3 = 0 (-1x2y2 + 0 + 36x2y4) = 0 (-1x2y2 + 36x2y4) = 0 Solving -1x2y2 + 36x2y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x2y2'. x2y2(-1 + 36y2) = 0 Factor a difference between two squares. x2y2((1 + 6y)(-1 + 6y)) = 0Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 0 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 '(1 + 6y)' equal to zero and attempt to solve: Simplifying 1 + 6y = 0 Solving 1 + 6y = 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 + 6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 0 + -1 6y = 0 + -1 Combine like terms: 0 + -1 = -1 6y = -1 Add '-6y' to each side of the equation. 6y + -6y = -1 + -6y Combine like terms: 6y + -6y = 0 0 = -1 + -6y Simplifying 0 = -1 + -6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 6y)' equal to zero and attempt to solve: Simplifying -1 + 6y = 0 Solving -1 + 6y = 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 + 6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6y = 0 + 1 6y = 0 + 1 Combine like terms: 0 + 1 = 1 6y = 1 Add '-6y' to each side of the equation. 6y + -6y = 1 + -6y Combine like terms: 6y + -6y = 0 0 = 1 + -6y Simplifying 0 = 1 + -6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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