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Simplifying x2y(y2 + -3x + 5) = 0 Reorder the terms: x2y(5 + -3x + y2) = 0 (5 * x2y + -3x * x2y + y2 * x2y) = 0 Reorder the terms: (5x2y + x2y3 + -3x3y) = 0 (5x2y + x2y3 + -3x3y) = 0 Solving 5x2y + x2y3 + -3x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2y'. x2y(5 + y2 + -3x) = 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 '(5 + y2 + -3x)' equal to zero and attempt to solve: Simplifying 5 + y2 + -3x = 0 Reorder the terms: 5 + -3x + y2 = 0 Solving 5 + -3x + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3x + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + -3x + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x + y2 = 0 + -5 -3x + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x + y2 = -5 Add '-1y2' to each side of the equation. -3x + y2 + -1y2 = -5 + -1y2 Combine like terms: y2 + -1y2 = 0 -3x + 0 = -5 + -1y2 -3x = -5 + -1y2 Divide each side by '-3'. x = 1.666666667 + 0.3333333333y2 Simplifying x = 1.666666667 + 0.3333333333y2Solution
x = {1.666666667 + 0.3333333333y2}
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