T^4+29T^2=-100

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Solution for T^4+29T^2=-100 equation:


Simplifying
T4 + 29T2 = -100

Reorder the terms:
29T2 + T4 = -100

Solving
29T2 + T4 = -100

Solving for variable 'T'.

Reorder the terms:
100 + 29T2 + T4 = -100 + 100

Combine like terms: -100 + 100 = 0
100 + 29T2 + T4 = 0

Factor a trinomial.
(25 + T2)(4 + T2) = 0

Subproblem 1

Set the factor '(25 + T2)' equal to zero and attempt to solve: Simplifying 25 + T2 = 0 Solving 25 + T2 = 0 Move all terms containing T to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + T2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + T2 = 0 + -25 T2 = 0 + -25 Combine like terms: 0 + -25 = -25 T2 = -25 Simplifying T2 = -25 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 '(4 + T2)' equal to zero and attempt to solve: Simplifying 4 + T2 = 0 Solving 4 + T2 = 0 Move all terms containing T to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + T2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + T2 = 0 + -4 T2 = 0 + -4 Combine like terms: 0 + -4 = -4 T2 = -4 Simplifying T2 = -4 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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