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Simplifying t4 + 8t2 + 12 = 0 Reorder the terms: 12 + 8t2 + t4 = 0 Solving 12 + 8t2 + t4 = 0 Solving for variable 't'. Factor a trinomial. (6 + t2)(2 + t2) = 0Subproblem 1
Set the factor '(6 + t2)' equal to zero and attempt to solve: Simplifying 6 + t2 = 0 Solving 6 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + t2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + t2 = 0 + -6 t2 = 0 + -6 Combine like terms: 0 + -6 = -6 t2 = -6 Simplifying t2 = -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 '(2 + t2)' equal to zero and attempt to solve: Simplifying 2 + t2 = 0 Solving 2 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t2 = 0 + -2 t2 = 0 + -2 Combine like terms: 0 + -2 = -2 t2 = -2 Simplifying t2 = -2 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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