27=3q^4

Solution for 27=3q^4 equation:

Simplifying
27 = 3q4

Solving
27 = 3q4

Solving for variable 'q'.

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

Add '-3q4' to each side of the equation.
27 + -3q4 = 3q4 + -3q4

Combine like terms: 3q4 + -3q4 = 0
27 + -3q4 = 0

Add '-27' to each side of the equation.
27 + -27 + -3q4 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -3q4 = 0 + -27
-3q4 = 0 + -27

Combine like terms: 0 + -27 = -27
-3q4 = -27

Divide each side by '-3'.
q4 = 9

Simplifying
q4 = 9

Reorder the terms:
-9 + q4 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + q4 = 0

Factor a difference between two squares.
(3 + q2)(-3 + q2) = 0

Subproblem 1
Set the factor '(3 + q2)' equal to zero and attempt to solve:

Simplifying
3 + q2 = 0

Solving
3 + q2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + q2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + q2 = 0 + -3
q2 = 0 + -3

Combine like terms: 0 + -3 = -3
q2 = -3

Simplifying
q2 = -3

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 + q2)' equal to zero and attempt to solve:

Simplifying
-3 + q2 = 0

Solving
-3 + q2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + q2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + q2 = 0 + 3
q2 = 0 + 3

Combine like terms: 0 + 3 = 3
q2 = 3

Simplifying
q2 = 3

Take the square root of each side:
q = {-1.732050808, 1.732050808}
Solution
q = {-1.732050808, 1.732050808}