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Simplifying 2x = (3x + 5)(x + 3y) Reorder the terms: 2x = (5 + 3x)(x + 3y) Multiply (5 + 3x) * (x + 3y) 2x = (5(x + 3y) + 3x * (x + 3y)) 2x = ((x * 5 + 3y * 5) + 3x * (x + 3y)) 2x = ((5x + 15y) + 3x * (x + 3y)) 2x = (5x + 15y + (x * 3x + 3y * 3x)) Reorder the terms: 2x = (5x + 15y + (9xy + 3x2)) 2x = (5x + 15y + (9xy + 3x2)) Reorder the terms: 2x = (5x + 9xy + 3x2 + 15y) 2x = (5x + 9xy + 3x2 + 15y) Solving 2x = 5x + 9xy + 3x2 + 15y Solving for variable 'x'. Combine like terms: 2x + -5x = -3x -3x + -9xy + -3x2 + -15y = 5x + 9xy + 3x2 + 15y + -5x + -9xy + -3x2 + -15y Reorder the terms: -3x + -9xy + -3x2 + -15y = 5x + -5x + 9xy + -9xy + 3x2 + -3x2 + 15y + -15y Combine like terms: 5x + -5x = 0 -3x + -9xy + -3x2 + -15y = 0 + 9xy + -9xy + 3x2 + -3x2 + 15y + -15y -3x + -9xy + -3x2 + -15y = 9xy + -9xy + 3x2 + -3x2 + 15y + -15y Combine like terms: 9xy + -9xy = 0 -3x + -9xy + -3x2 + -15y = 0 + 3x2 + -3x2 + 15y + -15y -3x + -9xy + -3x2 + -15y = 3x2 + -3x2 + 15y + -15y Combine like terms: 3x2 + -3x2 = 0 -3x + -9xy + -3x2 + -15y = 0 + 15y + -15y -3x + -9xy + -3x2 + -15y = 15y + -15y Combine like terms: 15y + -15y = 0 -3x + -9xy + -3x2 + -15y = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(x + 3xy + x2 + 5y) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(x + 3xy + x2 + 5y)' equal to zero and attempt to solve: Simplifying x + 3xy + x2 + 5y = 0 Solving x + 3xy + x2 + 5y = 0 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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