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Simplifying 18x4y2 + 48x2y + 32 = 0 Reorder the terms: 32 + 48x2y + 18x4y2 = 0 Solving 32 + 48x2y + 18x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 24x2y + 9x4y2) = 0 Factor a trinomial. 2((4 + 3x2y)(4 + 3x2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 3x2y)' equal to zero and attempt to solve: Simplifying 4 + 3x2y = 0 Solving 4 + 3x2y = 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 + 3x2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2y = 0 + -4 3x2y = 0 + -4 Combine like terms: 0 + -4 = -4 3x2y = -4 Divide each side by '3y'. x2 = -1.333333333y-1 Simplifying x2 = -1.333333333y-1 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 + 3x2y)' equal to zero and attempt to solve: Simplifying 4 + 3x2y = 0 Solving 4 + 3x2y = 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 + 3x2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2y = 0 + -4 3x2y = 0 + -4 Combine like terms: 0 + -4 = -4 3x2y = -4 Divide each side by '3y'. x2 = -1.333333333y-1 Simplifying x2 = -1.333333333y-1 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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