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Simplifying 2x2y2 + 4x2y3 + x2y = 0 Reorder the terms: x2y + 2x2y2 + 4x2y3 = 0 Solving x2y + 2x2y2 + 4x2y3 = 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), 'x2y'. x2y(1 + 2y + 4y2) = 0Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + 2y + 4y2)' equal to zero and attempt to solve: Simplifying 1 + 2y + 4y2 = 0 Solving 1 + 2y + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2y + -1 + 4y2 = 0 + -1 Reorder the terms: 1 + -1 + 2y + 4y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y + 4y2 = 0 + -1 2y + 4y2 = 0 + -1 Combine like terms: 0 + -1 = -1 2y + 4y2 = -1 Add '-2y' to each side of the equation. 2y + -2y + 4y2 = -1 + -2y Combine like terms: 2y + -2y = 0 0 + 4y2 = -1 + -2y 4y2 = -1 + -2y Add '-4y2' to each side of the equation. 4y2 + -4y2 = -1 + -2y + -4y2 Combine like terms: 4y2 + -4y2 = 0 0 = -1 + -2y + -4y2 Simplifying 0 = -1 + -2y + -4y2 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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