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Simplifying 30xy + 45y + -24x + 36 = 0 Reorder the terms: 36 + -24x + 30xy + 45y = 0 Solving 36 + -24x + 30xy + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -24x + 30xy + -36 + 45y = 0 + -36 Reorder the terms: 36 + -36 + -24x + 30xy + 45y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -24x + 30xy + 45y = 0 + -36 -24x + 30xy + 45y = 0 + -36 Combine like terms: 0 + -36 = -36 -24x + 30xy + 45y = -36 Add '-45y' to each side of the equation. -24x + 30xy + 45y + -45y = -36 + -45y Combine like terms: 45y + -45y = 0 -24x + 30xy + 0 = -36 + -45y -24x + 30xy = -36 + -45y Reorder the terms: 36 + -24x + 30xy + 45y = -36 + -45y + 36 + 45y Reorder the terms: 36 + -24x + 30xy + 45y = -36 + 36 + -45y + 45y Combine like terms: -36 + 36 = 0 36 + -24x + 30xy + 45y = 0 + -45y + 45y 36 + -24x + 30xy + 45y = -45y + 45y Combine like terms: -45y + 45y = 0 36 + -24x + 30xy + 45y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(12 + -8x + 10xy + 15y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(12 + -8x + 10xy + 15y)' equal to zero and attempt to solve: Simplifying 12 + -8x + 10xy + 15y = 0 Solving 12 + -8x + 10xy + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8x + 10xy + -12 + 15y = 0 + -12 Reorder the terms: 12 + -12 + -8x + 10xy + 15y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8x + 10xy + 15y = 0 + -12 -8x + 10xy + 15y = 0 + -12 Combine like terms: 0 + -12 = -12 -8x + 10xy + 15y = -12 Add '-15y' to each side of the equation. -8x + 10xy + 15y + -15y = -12 + -15y Combine like terms: 15y + -15y = 0 -8x + 10xy + 0 = -12 + -15y -8x + 10xy = -12 + -15y 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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