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Simplifying 12x + 5xy + 4x + 10xy = 0 Reorder the terms: 12x + 4x + 5xy + 10xy = 0 Combine like terms: 12x + 4x = 16x 16x + 5xy + 10xy = 0 Combine like terms: 5xy + 10xy = 15xy 16x + 15xy = 0 Solving 16x + 15xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(16 + 15y) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(16 + 15y)' equal to zero and attempt to solve: Simplifying 16 + 15y = 0 Solving 16 + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 15y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 15y = 0 + -16 15y = 0 + -16 Combine like terms: 0 + -16 = -16 15y = -16 Add '-15y' to each side of the equation. 15y + -15y = -16 + -15y Combine like terms: 15y + -15y = 0 0 = -16 + -15y Simplifying 0 = -16 + -15y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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