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Simplifying 3x4 + 21x2 + 18 = 0 Reorder the terms: 18 + 21x2 + 3x4 = 0 Solving 18 + 21x2 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 7x2 + x4) = 0 Factor a trinomial. 3((6 + x2)(1 + x2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + x2)' equal to zero and attempt to solve: Simplifying 6 + x2 = 0 Solving 6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x2 = 0 + -6 x2 = 0 + -6 Combine like terms: 0 + -6 = -6 x2 = -6 Simplifying x2 = -6 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -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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