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Simplifying 4XY + 7X + 6XY = 0 Reorder the terms: 7X + 4XY + 6XY = 0 Combine like terms: 4XY + 6XY = 10XY 7X + 10XY = 0 Solving 7X + 10XY = 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(7 + 10Y) = 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 '(7 + 10Y)' equal to zero and attempt to solve: Simplifying 7 + 10Y = 0 Solving 7 + 10Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10Y = 0 + -7 10Y = 0 + -7 Combine like terms: 0 + -7 = -7 10Y = -7 Add '-10Y' to each side of the equation. 10Y + -10Y = -7 + -10Y Combine like terms: 10Y + -10Y = 0 0 = -7 + -10Y Simplifying 0 = -7 + -10Y 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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