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Simplifying 32x4y2 + 48x2y + 18 = 0 Reorder the terms: 18 + 48x2y + 32x4y2 = 0 Solving 18 + 48x2y + 32x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 24x2y + 16x4y2) = 0 Factor a trinomial. 2((3 + 4x2y)(3 + 4x2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 4x2y)' equal to zero and attempt to solve: Simplifying 3 + 4x2y = 0 Solving 3 + 4x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x2y = 0 + -3 4x2y = 0 + -3 Combine like terms: 0 + -3 = -3 4x2y = -3 Divide each side by '4y'. x2 = -0.75y-1 Simplifying x2 = -0.75y-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 '(3 + 4x2y)' equal to zero and attempt to solve: Simplifying 3 + 4x2y = 0 Solving 3 + 4x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x2y = 0 + -3 4x2y = 0 + -3 Combine like terms: 0 + -3 = -3 4x2y = -3 Divide each side by '4y'. x2 = -0.75y-1 Simplifying x2 = -0.75y-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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