t^2+432t+46656=0

Solution for t^2+432t+46656=0 equation:

Simplifying
t2 + 432t + 46656 = 0

Reorder the terms:
46656 + 432t + t2 = 0

Solving
46656 + 432t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(216 + t)(216 + t) = 0

Subproblem 1
Set the factor '(216 + t)' equal to zero and attempt to solve:

Simplifying
216 + t = 0

Solving
216 + t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-216' to each side of the equation.
216 + -216 + t = 0 + -216

Combine like terms: 216 + -216 = 0
0 + t = 0 + -216
t = 0 + -216

Combine like terms: 0 + -216 = -216
t = -216

Simplifying
t = -216
Subproblem 2
Set the factor '(216 + t)' equal to zero and attempt to solve:

Simplifying
216 + t = 0

Solving
216 + t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-216' to each side of the equation.
216 + -216 + t = 0 + -216

Combine like terms: 216 + -216 = 0
0 + t = 0 + -216
t = 0 + -216

Combine like terms: 0 + -216 = -216
t = -216

Simplifying
t = -216
Solution
t = {-216, -216}