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Simplifying 6x2y2 + -2xy2 + -6xy2 = 0 Reorder the terms: -2xy2 + -6xy2 + 6x2y2 = 0 Combine like terms: -2xy2 + -6xy2 = -8xy2 -8xy2 + 6x2y2 = 0 Solving -8xy2 + 6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy2'. 2xy2(-4 + 3x) = 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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {1.333333333}
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