0=3t^4-12

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Solution for 0=3t^4-12 equation: 


Simplifying
0 = 3t4 + -12

Reorder the terms:
0 = -12 + 3t4

Solving
0 = -12 + 3t4

Solving for variable 't'.

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

Add '-3t4' to each side of the equation.
0 + -3t4 = -12 + 3t4 + -3t4
Remove the zero:
-3t4 = -12 + 3t4 + -3t4

Combine like terms: 3t4 + -3t4 = 0
-3t4 = -12 + 0
-3t4 = -12

Divide each side by '-3'.
t4 = 4

Simplifying
t4 = 4

Reorder the terms:
-4 + t4 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + t4 = 0

Factor a difference between two squares.
(2 + t2)(-2 + t2) = 0


Subproblem 1
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.

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

Take the square root of each side:
t = {-1.414213562, 1.414213562}
Solution
t = {-1.414213562, 1.414213562}

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