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Simplifying (6x2y + -4xy) + (x2y + -4xy) = 0 Reorder the terms: (-4xy + 6x2y) + (x2y + -4xy) = 0 Remove parenthesis around (-4xy + 6x2y) -4xy + 6x2y + (x2y + -4xy) = 0 Reorder the terms: -4xy + 6x2y + (-4xy + x2y) = 0 Remove parenthesis around (-4xy + x2y) -4xy + 6x2y + -4xy + x2y = 0 Reorder the terms: -4xy + -4xy + 6x2y + x2y = 0 Combine like terms: -4xy + -4xy = -8xy -8xy + 6x2y + x2y = 0 Combine like terms: 6x2y + x2y = 7x2y -8xy + 7x2y = 0 Solving -8xy + 7x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-8 + 7x) = 0Subproblem 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 '(-8 + 7x)' equal to zero and attempt to solve: Simplifying -8 + 7x = 0 Solving -8 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 0 + 8 7x = 0 + 8 Combine like terms: 0 + 8 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {1.142857143}
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