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Simplifying -2xy2 + -4xy + 6xy2 = x Reorder the terms: -4xy + -2xy2 + 6xy2 = x Combine like terms: -2xy2 + 6xy2 = 4xy2 -4xy + 4xy2 = x Solving -4xy + 4xy2 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4xy + -1x + 4xy2 = x + -1x Reorder the terms: -1x + -4xy + 4xy2 = x + -1x Combine like terms: x + -1x = 0 -1x + -4xy + 4xy2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + -4y + 4y2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + -4y + 4y2)' equal to zero and attempt to solve: Simplifying -1 + -4y + 4y2 = 0 Solving -1 + -4y + 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 + -4y + 1 + 4y2 = 0 + 1 Reorder the terms: -1 + 1 + -4y + 4y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4y + 4y2 = 0 + 1 -4y + 4y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -4y + 4y2 = 1 Add '4y' to each side of the equation. -4y + 4y + 4y2 = 1 + 4y Combine like terms: -4y + 4y = 0 0 + 4y2 = 1 + 4y 4y2 = 1 + 4y Add '-4y2' to each side of the equation. 4y2 + -4y2 = 1 + 4y + -4y2 Combine like terms: 4y2 + -4y2 = 0 0 = 1 + 4y + -4y2 Simplifying 0 = 1 + 4y + -4y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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