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Simplifying 3x2y + -5xy + 6x2y = 0 Reorder the terms: -5xy + 3x2y + 6x2y = 0 Combine like terms: 3x2y + 6x2y = 9x2y -5xy + 9x2y = 0 Solving -5xy + 9x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-5 + 9x) = 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 '(-5 + 9x)' equal to zero and attempt to solve: Simplifying -5 + 9x = 0 Solving -5 + 9x = 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 + 9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 0 + 5 9x = 0 + 5 Combine like terms: 0 + 5 = 5 9x = 5 Divide each side by '9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {0.5555555556}
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