405-5t^4=

Solution for 405-5t^4= equation:

Simplifying
405 + -5t4 = 0

Solving
405 + -5t4 = 0

Solving for variable 't'.

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

Add '-405' to each side of the equation.
405 + -405 + -5t4 = 0 + -405

Combine like terms: 405 + -405 = 0
0 + -5t4 = 0 + -405
-5t4 = 0 + -405

Combine like terms: 0 + -405 = -405
-5t4 = -405

Divide each side by '-5'.
t4 = 81

Simplifying
t4 = 81

Reorder the terms:
-81 + t4 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + t4 = 0

Factor a difference between two squares.
(9 + t2)(-9 + t2) = 0

Factor a difference between two squares.
(9 + t2)((3 + t)(-3 + t)) = 0

Subproblem 1
Set the factor '(9 + t2)' equal to zero and attempt to solve:

Simplifying
9 + t2 = 0

Solving
9 + t2 = 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 + t2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + t2 = 0 + -9
t2 = 0 + -9

Combine like terms: 0 + -9 = -9
t2 = -9

Simplifying
t2 = -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 '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

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

Add '-3' to each side of the equation.
3 + -3 + t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + t = 0 + -3
t = 0 + -3

Combine like terms: 0 + -3 = -3
t = -3

Simplifying
t = -3
Subproblem 3
Set the factor '(-3 + t)' equal to zero and attempt to solve:

Simplifying
-3 + t = 0

Solving
-3 + t = 0

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

Add '3' to each side of the equation.
-3 + 3 + t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + t = 0 + 3
t = 0 + 3

Combine like terms: 0 + 3 = 3
t = 3

Simplifying
t = 3
Solution
t = {-3, 3}