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Simplifying 2t4 + 9t2 + 10 = 0 Reorder the terms: 10 + 9t2 + 2t4 = 0 Solving 10 + 9t2 + 2t4 = 0 Solving for variable 't'. Factor a trinomial. (5 + 2t2)(2 + t2) = 0Subproblem 1
Set the factor '(5 + 2t2)' equal to zero and attempt to solve: Simplifying 5 + 2t2 = 0 Solving 5 + 2t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2t2 = 0 + -5 2t2 = 0 + -5 Combine like terms: 0 + -5 = -5 2t2 = -5 Divide each side by '2'. t2 = -2.5 Simplifying t2 = -2.5 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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