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Simplifying 4x2y2 + -6xy2 + 12xy3 = 0 Reorder the terms: -6xy2 + 12xy3 + 4x2y2 = 0 Solving -6xy2 + 12xy3 + 4x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy2'. 2xy2(-3 + 6y + 2x) = 0 Ignore the factor 2.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 '(-3 + 6y + 2x)' equal to zero and attempt to solve: Simplifying -3 + 6y + 2x = 0 Reorder the terms: -3 + 2x + 6y = 0 Solving -3 + 2x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2x + 3 + 6y = 0 + 3 Reorder the terms: -3 + 3 + 2x + 6y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x + 6y = 0 + 3 2x + 6y = 0 + 3 Combine like terms: 0 + 3 = 3 2x + 6y = 3 Add '-6y' to each side of the equation. 2x + 6y + -6y = 3 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 3 + -6y 2x = 3 + -6y Divide each side by '2'. x = 1.5 + -3y Simplifying x = 1.5 + -3ySolution
x = {1.5 + -3y}
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