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Simplifying 3X(4Y + 5) = 0 Reorder the terms: 3X(5 + 4Y) = 0 (5 * 3X + 4Y * 3X) = 0 (15X + 12XY) = 0 Solving 15X + 12XY = 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), '3X'. 3X(5 + 4Y) = 0 Ignore the factor 3.Subproblem 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 '(5 + 4Y)' equal to zero and attempt to solve: Simplifying 5 + 4Y = 0 Solving 5 + 4Y = 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 + 4Y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4Y = 0 + -5 4Y = 0 + -5 Combine like terms: 0 + -5 = -5 4Y = -5 Add '-4Y' to each side of the equation. 4Y + -4Y = -5 + -4Y Combine like terms: 4Y + -4Y = 0 0 = -5 + -4Y Simplifying 0 = -5 + -4Y 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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