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Simplifying 10x2y2 + 12xy3 + -4xy = 0 Reorder the terms: -4xy + 12xy3 + 10x2y2 = 0 Solving -4xy + 12xy3 + 10x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-2 + 6y2 + 5xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-2 + 6y2 + 5xy)' equal to zero and attempt to solve: Simplifying -2 + 6y2 + 5xy = 0 Reorder the terms: -2 + 5xy + 6y2 = 0 Solving -2 + 5xy + 6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5xy + 2 + 6y2 = 0 + 2 Reorder the terms: -2 + 2 + 5xy + 6y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5xy + 6y2 = 0 + 2 5xy + 6y2 = 0 + 2 Combine like terms: 0 + 2 = 2 5xy + 6y2 = 2 Add '-6y2' to each side of the equation. 5xy + 6y2 + -6y2 = 2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 5xy + 0 = 2 + -6y2 5xy = 2 + -6y2 Divide each side by '5y'. x = 0.4y-1 + -1.2y Simplifying x = 0.4y-1 + -1.2ySolution
x = {0.4y-1 + -1.2y}
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