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Simplifying 3xy(1 + y + 2xy) = 0 Reorder the terms: 3xy(1 + 2xy + y) = 0 (1 * 3xy + 2xy * 3xy + y * 3xy) = 0 Reorder the terms: (3xy + 3xy2 + 6x2y2) = 0 (3xy + 3xy2 + 6x2y2) = 0 Solving 3xy + 3xy2 + 6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(1 + y + 2xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 + y + 2xy)' equal to zero and attempt to solve: Simplifying 1 + y + 2xy = 0 Reorder the terms: 1 + 2xy + y = 0 Solving 1 + 2xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2xy + -1 + y = 0 + -1 Reorder the terms: 1 + -1 + 2xy + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2xy + y = 0 + -1 2xy + y = 0 + -1 Combine like terms: 0 + -1 = -1 2xy + y = -1 Add '-1y' to each side of the equation. 2xy + y + -1y = -1 + -1y Combine like terms: y + -1y = 0 2xy + 0 = -1 + -1y 2xy = -1 + -1y Divide each side by '2y'. x = -0.5y-1 + -0.5 Simplifying x = -0.5y-1 + -0.5 Reorder the terms: x = -0.5 + -0.5y-1Solution
x = {-0.5 + -0.5y-1}
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