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Simplifying (6x2y + -8xy) + (6x2y + -2xy) = 0 Reorder the terms: (-8xy + 6x2y) + (6x2y + -2xy) = 0 Remove parenthesis around (-8xy + 6x2y) -8xy + 6x2y + (6x2y + -2xy) = 0 Reorder the terms: -8xy + 6x2y + (-2xy + 6x2y) = 0 Remove parenthesis around (-2xy + 6x2y) -8xy + 6x2y + -2xy + 6x2y = 0 Reorder the terms: -8xy + -2xy + 6x2y + 6x2y = 0 Combine like terms: -8xy + -2xy = -10xy -10xy + 6x2y + 6x2y = 0 Combine like terms: 6x2y + 6x2y = 12x2y -10xy + 12x2y = 0 Solving -10xy + 12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-5 + 6x) = 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 '(-5 + 6x)' equal to zero and attempt to solve: Simplifying -5 + 6x = 0 Solving -5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 0 + 5 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {0.8333333333}
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