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Simplifying 4x4y2 + 2xy3 = 2xy2 Reorder the terms: 2xy3 + 4x4y2 = 2xy2 Solving 2xy3 + 4x4y2 = 2xy2 Solving for variable 'x'. Reorder the terms: -2xy2 + 2xy3 + 4x4y2 = 2xy2 + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 -2xy2 + 2xy3 + 4x4y2 = 0 Factor out the Greatest Common Factor (GCF), '2xy2'. 2xy2(-1 + y + 2x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 + 2x3)' equal to zero and attempt to solve: Simplifying -1 + y + 2x3 = 0 Reorder the terms: -1 + 2x3 + y = 0 Solving -1 + 2x3 + 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 + 2x3 + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + 2x3 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x3 + y = 0 + 1 2x3 + y = 0 + 1 Combine like terms: 0 + 1 = 1 2x3 + y = 1 Add '-1y' to each side of the equation. 2x3 + y + -1y = 1 + -1y Combine like terms: y + -1y = 0 2x3 + 0 = 1 + -1y 2x3 = 1 + -1y Divide each side by '2'. x3 = 0.5 + -0.5y Simplifying x3 = 0.5 + -0.5y 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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