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Simplifying (7x2y + -5xy) + (5x2y + -8xy) = 0 Reorder the terms: (-5xy + 7x2y) + (5x2y + -8xy) = 0 Remove parenthesis around (-5xy + 7x2y) -5xy + 7x2y + (5x2y + -8xy) = 0 Reorder the terms: -5xy + 7x2y + (-8xy + 5x2y) = 0 Remove parenthesis around (-8xy + 5x2y) -5xy + 7x2y + -8xy + 5x2y = 0 Reorder the terms: -5xy + -8xy + 7x2y + 5x2y = 0 Combine like terms: -5xy + -8xy = -13xy -13xy + 7x2y + 5x2y = 0 Combine like terms: 7x2y + 5x2y = 12x2y -13xy + 12x2y = 0 Solving -13xy + 12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-13 + 12x) = 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 '(-13 + 12x)' equal to zero and attempt to solve: Simplifying -13 + 12x = 0 Solving -13 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 0 + 13 12x = 0 + 13 Combine like terms: 0 + 13 = 13 12x = 13 Divide each side by '12'. x = 1.083333333 Simplifying x = 1.083333333Solution
x = {1.083333333}
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