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Simplifying (5x2y + -3xy) + (2x2y + -1xy) = 0 Reorder the terms: (-3xy + 5x2y) + (2x2y + -1xy) = 0 Remove parenthesis around (-3xy + 5x2y) -3xy + 5x2y + (2x2y + -1xy) = 0 Reorder the terms: -3xy + 5x2y + (-1xy + 2x2y) = 0 Remove parenthesis around (-1xy + 2x2y) -3xy + 5x2y + -1xy + 2x2y = 0 Reorder the terms: -3xy + -1xy + 5x2y + 2x2y = 0 Combine like terms: -3xy + -1xy = -4xy -4xy + 5x2y + 2x2y = 0 Combine like terms: 5x2y + 2x2y = 7x2y -4xy + 7x2y = 0 Solving -4xy + 7x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-4 + 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 '(-4 + 7x)' equal to zero and attempt to solve: Simplifying -4 + 7x = 0 Solving -4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {0.5714285714}
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