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Simplifying 2t4 + 11t2 + 14 = 0 Reorder the terms: 14 + 11t2 + 2t4 = 0 Solving 14 + 11t2 + 2t4 = 0 Solving for variable 't'. Factor a trinomial. (7 + 2t2)(2 + t2) = 0Subproblem 1
Set the factor '(7 + 2t2)' equal to zero and attempt to solve: Simplifying 7 + 2t2 = 0 Solving 7 + 2t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2t2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2t2 = 0 + -7 2t2 = 0 + -7 Combine like terms: 0 + -7 = -7 2t2 = -7 Divide each side by '2'. t2 = -3.5 Simplifying t2 = -3.5 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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