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Simplifying y = 2x(y2) Multiply x * y2 y = 2xy2 Solving y = 2xy2 Solving for variable 'y'. Reorder the terms: -2xy2 + y = 2xy2 + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 -2xy2 + y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-2xy + 1) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-2xy + 1)' equal to zero and attempt to solve: Simplifying -2xy + 1 = 0 Reorder the terms: 1 + -2xy = 0 Solving 1 + -2xy = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2xy = 0 + -1 -2xy = 0 + -1 Combine like terms: 0 + -1 = -1 -2xy = -1 Divide each side by '-2x'. y = 0.5x-1 Simplifying y = 0.5x-1Solution
y = {0, 0.5x-1}
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