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Simplifying -4xy6(2y4 + -9x2 + 6) = 0 Reorder the terms: -4xy6(6 + -9x2 + 2y4) = 0 (6 * -4xy6 + -9x2 * -4xy6 + 2y4 * -4xy6) = 0 Reorder the terms: (-24xy6 + -8xy10 + 36x3y6) = 0 (-24xy6 + -8xy10 + 36x3y6) = 0 Solving -24xy6 + -8xy10 + 36x3y6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy6'. 4xy6(-6 + -2y4 + 9x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy6' equal to zero and attempt to solve: Simplifying xy6 = 0 Solving xy6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy6 = 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 + -2y4 + 9x2)' equal to zero and attempt to solve: Simplifying -6 + -2y4 + 9x2 = 0 Reorder the terms: -6 + 9x2 + -2y4 = 0 Solving -6 + 9x2 + -2y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 9x2 + 6 + -2y4 = 0 + 6 Reorder the terms: -6 + 6 + 9x2 + -2y4 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9x2 + -2y4 = 0 + 6 9x2 + -2y4 = 0 + 6 Combine like terms: 0 + 6 = 6 9x2 + -2y4 = 6 Add '2y4' to each side of the equation. 9x2 + -2y4 + 2y4 = 6 + 2y4 Combine like terms: -2y4 + 2y4 = 0 9x2 + 0 = 6 + 2y4 9x2 = 6 + 2y4 Divide each side by '9'. x2 = 0.6666666667 + 0.2222222222y4 Simplifying x2 = 0.6666666667 + 0.2222222222y4 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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