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Simplifying 8x3 + 18xy2 = 0 Reorder the terms: 18xy2 + 8x3 = 0 Solving 18xy2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(9y2 + 4x2) = 0 Ignore the factor 2.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 '(9y2 + 4x2)' equal to zero and attempt to solve: Simplifying 9y2 + 4x2 = 0 Reorder the terms: 4x2 + 9y2 = 0 Solving 4x2 + 9y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y2' to each side of the equation. 4x2 + 9y2 + -9y2 = 0 + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 = 0 + -9y2 4x2 = 0 + -9y2 Remove the zero: 4x2 = -9y2 Divide each side by '4'. x2 = -2.25y2 Simplifying x2 = -2.25y2 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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