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Simplifying 8x3y + -6xy2 + 12xy = 0 Reorder the terms: 12xy + -6xy2 + 8x3y = 0 Solving 12xy + -6xy2 + 8x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(6 + -3y + 4x2) = 0 Ignore the factor 2.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 '(6 + -3y + 4x2)' equal to zero and attempt to solve: Simplifying 6 + -3y + 4x2 = 0 Reorder the terms: 6 + 4x2 + -3y = 0 Solving 6 + 4x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4x2 + -6 + -3y = 0 + -6 Reorder the terms: 6 + -6 + 4x2 + -3y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4x2 + -3y = 0 + -6 4x2 + -3y = 0 + -6 Combine like terms: 0 + -6 = -6 4x2 + -3y = -6 Add '3y' to each side of the equation. 4x2 + -3y + 3y = -6 + 3y Combine like terms: -3y + 3y = 0 4x2 + 0 = -6 + 3y 4x2 = -6 + 3y Divide each side by '4'. x2 = -1.5 + 0.75y Simplifying x2 = -1.5 + 0.75y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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