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Simplifying 4X2 + -3XY + -9X2 + 4YX + -7XY = 0 Reorder the terms: -3XY + 4XY + -7XY + 4X2 + -9X2 = 0 Combine like terms: -3XY + 4XY = 1XY 1XY + -7XY + 4X2 + -9X2 = 0 Combine like terms: 1XY + -7XY = -6XY -6XY + 4X2 + -9X2 = 0 Combine like terms: 4X2 + -9X2 = -5X2 -6XY + -5X2 = 0 Solving -6XY + -5X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '-1X'. -1X(6Y + 5X) = 0 Ignore the factor -1.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 '(6Y + 5X)' equal to zero and attempt to solve: Simplifying 6Y + 5X = 0 Reorder the terms: 5X + 6Y = 0 Solving 5X + 6Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-6Y' to each side of the equation. 5X + 6Y + -6Y = 0 + -6Y Combine like terms: 6Y + -6Y = 0 5X + 0 = 0 + -6Y 5X = 0 + -6Y Remove the zero: 5X = -6Y Divide each side by '5'. X = -1.2Y Simplifying X = -1.2YSolution
X = {0, -1.2Y}
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