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Simplifying 9x + 6y + 15 = 3(3xy + 5) Reorder the terms: 15 + 9x + 6y = 3(3xy + 5) Reorder the terms: 15 + 9x + 6y = 3(5 + 3xy) 15 + 9x + 6y = (5 * 3 + 3xy * 3) 15 + 9x + 6y = (15 + 9xy) Add '-15' to each side of the equation. 15 + 9x + -15 + 6y = 15 + -15 + 9xy Reorder the terms: 15 + -15 + 9x + 6y = 15 + -15 + 9xy Combine like terms: 15 + -15 = 0 0 + 9x + 6y = 15 + -15 + 9xy 9x + 6y = 15 + -15 + 9xy Combine like terms: 15 + -15 = 0 9x + 6y = 0 + 9xy 9x + 6y = 9xy Solving 9x + 6y = 9xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9xy' to each side of the equation. 9x + -9xy + 6y = 9xy + -9xy Combine like terms: 9xy + -9xy = 0 9x + -9xy + 6y = 0 Add '-6y' to each side of the equation. 9x + -9xy + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 9x + -9xy + 0 = 0 + -6y 9x + -9xy = 0 + -6y Remove the zero: 9x + -9xy = -6y Combine like terms: -6y + 6y = 0 9x + -9xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3x + -3xy + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3x + -3xy + 2y)' equal to zero and attempt to solve: Simplifying 3x + -3xy + 2y = 0 Solving 3x + -3xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + -3xy + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 3x + -3xy + 0 = 0 + -2y 3x + -3xy = 0 + -2y Remove the zero: 3x + -3xy = -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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