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Simplifying 32x2y3 + 12xy2 + -8xy = 0 Reorder the terms: -8xy + 12xy2 + 32x2y3 = 0 Solving -8xy + 12xy2 + 32x2y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(-2 + 3y + 8xy2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 + 3y + 8xy2)' equal to zero and attempt to solve: Simplifying -2 + 3y + 8xy2 = 0 Reorder the terms: -2 + 8xy2 + 3y = 0 Solving -2 + 8xy2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 8xy2 + 2 + 3y = 0 + 2 Reorder the terms: -2 + 2 + 8xy2 + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8xy2 + 3y = 0 + 2 8xy2 + 3y = 0 + 2 Combine like terms: 0 + 2 = 2 8xy2 + 3y = 2 Add '-3y' to each side of the equation. 8xy2 + 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 8xy2 + 0 = 2 + -3y 8xy2 = 2 + -3y Divide each side by '8y2'. x = 0.25y-2 + -0.375y-1 Simplifying x = 0.25y-2 + -0.375y-1Solution
x = {0.25y-2 + -0.375y-1}
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