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Simplifying 4x2y2 + 6xy + 8xy2 = 0 Reorder the terms: 6xy + 8xy2 + 4x2y2 = 0 Solving 6xy + 8xy2 + 4x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(3 + 4y + 2xy) = 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 '(3 + 4y + 2xy)' equal to zero and attempt to solve: Simplifying 3 + 4y + 2xy = 0 Reorder the terms: 3 + 2xy + 4y = 0 Solving 3 + 2xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2xy + -3 + 4y = 0 + -3 Reorder the terms: 3 + -3 + 2xy + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2xy + 4y = 0 + -3 2xy + 4y = 0 + -3 Combine like terms: 0 + -3 = -3 2xy + 4y = -3 Add '-4y' to each side of the equation. 2xy + 4y + -4y = -3 + -4y Combine like terms: 4y + -4y = 0 2xy + 0 = -3 + -4y 2xy = -3 + -4y Divide each side by '2y'. x = -1.5y-1 + -2 Simplifying x = -1.5y-1 + -2 Reorder the terms: x = -2 + -1.5y-1Solution
x = {-2 + -1.5y-1}
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