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Simplifying 2y6x + 3y4 + 5y2x = 0 Reorder the terms: 5xy2 + 2xy6 + 3y4 = 0 Solving 5xy2 + 2xy6 + 3y4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y4' to each side of the equation. 5xy2 + 2xy6 + 3y4 + -3y4 = 0 + -3y4 Combine like terms: 3y4 + -3y4 = 0 5xy2 + 2xy6 + 0 = 0 + -3y4 5xy2 + 2xy6 = 0 + -3y4 Remove the zero: 5xy2 + 2xy6 = -3y4 Combine like terms: -3y4 + 3y4 = 0 5xy2 + 2xy6 + 3y4 = 0 Factor out the Greatest Common Factor (GCF), 'y2'. y2(5x + 2xy4 + 3y2) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(5x + 2xy4 + 3y2)' equal to zero and attempt to solve: Simplifying 5x + 2xy4 + 3y2 = 0 Solving 5x + 2xy4 + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 5x + 2xy4 + 3y2 + -3y2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 5x + 2xy4 + 0 = 0 + -3y2 5x + 2xy4 = 0 + -3y2 Remove the zero: 5x + 2xy4 = -3y2 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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