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Simplifying 8x5 + -18xy2 = 0 Reorder the terms: -18xy2 + 8x5 = 0 Solving -18xy2 + 8x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9y2 + 4x4) = 0 Factor a difference between two squares. 2x((3y + 2x2)(-3y + 2x2)) = 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 '(3y + 2x2)' equal to zero and attempt to solve: Simplifying 3y + 2x2 = 0 Reorder the terms: 2x2 + 3y = 0 Solving 2x2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x2 + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x2 + 0 = 0 + -3y 2x2 = 0 + -3y Remove the zero: 2x2 = -3y Divide each side by '2'. x2 = -1.5y Simplifying x2 = -1.5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-3y + 2x2)' equal to zero and attempt to solve: Simplifying -3y + 2x2 = 0 Reorder the terms: 2x2 + -3y = 0 Solving 2x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x2 + 0 = 0 + 3y 2x2 = 0 + 3y Remove the zero: 2x2 = 3y Divide each side by '2'. x2 = 1.5y Simplifying x2 = 1.5y 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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