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Simplifying 9X3Y2 + -36XY2 = 0 Reorder the terms: -36XY2 + 9X3Y2 = 0 Solving -36XY2 + 9X3Y2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '9XY2'. 9XY2(-4 + X2) = 0 Factor a difference between two squares. 9XY2((2 + X)(-2 + X)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'XY2' equal to zero and attempt to solve: Simplifying XY2 = 0 Solving XY2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying XY2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Subproblem 3
Set the factor '(-2 + X)' equal to zero and attempt to solve: Simplifying -2 + X = 0 Solving -2 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + X = 0 + 2 X = 0 + 2 Combine like terms: 0 + 2 = 2 X = 2 Simplifying X = 2Solution
X = {-2, 2}
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