t^6+3t^3=54

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Solution for t^6+3t^3=54 equation:


Simplifying
t6 + 3t3 = 54

Reorder the terms:
3t3 + t6 = 54

Solving
3t3 + t6 = 54

Solving for variable 't'.

Reorder the terms:
-54 + 3t3 + t6 = 54 + -54

Combine like terms: 54 + -54 = 0
-54 + 3t3 + t6 = 0

Factor a trinomial.
(-9 + -1t3)(6 + -1t3) = 0

Subproblem 1

Set the factor '(-9 + -1t3)' equal to zero and attempt to solve: Simplifying -9 + -1t3 = 0 Solving -9 + -1t3 = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1t3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1t3 = 0 + 9 -1t3 = 0 + 9 Combine like terms: 0 + 9 = 9 -1t3 = 9 Divide each side by '-1'. t3 = -9 Simplifying t3 = -9 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 '(6 + -1t3)' equal to zero and attempt to solve: Simplifying 6 + -1t3 = 0 Solving 6 + -1t3 = 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 + -1t3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t3 = 0 + -6 -1t3 = 0 + -6 Combine like terms: 0 + -6 = -6 -1t3 = -6 Divide each side by '-1'. t3 = 6 Simplifying t3 = 6 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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