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Simplifying 5xy2 + -6x2y + 4xy + 7xy2 = 0 Reorder the terms: 4xy + 5xy2 + 7xy2 + -6x2y = 0 Combine like terms: 5xy2 + 7xy2 = 12xy2 4xy + 12xy2 + -6x2y = 0 Solving 4xy + 12xy2 + -6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(2 + 6y + -3x) = 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 + 6y + -3x)' equal to zero and attempt to solve: Simplifying 2 + 6y + -3x = 0 Reorder the terms: 2 + -3x + 6y = 0 Solving 2 + -3x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3x + -2 + 6y = 0 + -2 Reorder the terms: 2 + -2 + -3x + 6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x + 6y = 0 + -2 -3x + 6y = 0 + -2 Combine like terms: 0 + -2 = -2 -3x + 6y = -2 Add '-6y' to each side of the equation. -3x + 6y + -6y = -2 + -6y Combine like terms: 6y + -6y = 0 -3x + 0 = -2 + -6y -3x = -2 + -6y Divide each side by '-3'. x = 0.6666666667 + 2y Simplifying x = 0.6666666667 + 2ySolution
x = {0.6666666667 + 2y}
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