q^4-625=

Solution for q^4-625= equation:

Simplifying
q4 + -625 = 0

Reorder the terms:
-625 + q4 = 0

Solving
-625 + q4 = 0

Solving for variable 'q'.

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

Add '625' to each side of the equation.
-625 + 625 + q4 = 0 + 625

Combine like terms: -625 + 625 = 0
0 + q4 = 0 + 625
q4 = 0 + 625

Combine like terms: 0 + 625 = 625
q4 = 625

Simplifying
q4 = 625

Reorder the terms:
-625 + q4 = 625 + -625

Combine like terms: 625 + -625 = 0
-625 + q4 = 0

Factor a difference between two squares.
(25 + q2)(-25 + q2) = 0

Factor a difference between two squares.
(25 + q2)((5 + q)(-5 + q)) = 0

Subproblem 1
Set the factor '(25 + q2)' equal to zero and attempt to solve:

Simplifying
25 + q2 = 0

Solving
25 + q2 = 0

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

Add '-25' to each side of the equation.
25 + -25 + q2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + q2 = 0 + -25
q2 = 0 + -25

Combine like terms: 0 + -25 = -25
q2 = -25

Simplifying
q2 = -25

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 '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 0

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

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

Combine like terms: 5 + -5 = 0
0 + q = 0 + -5
q = 0 + -5

Combine like terms: 0 + -5 = -5
q = -5

Simplifying
q = -5
Subproblem 3
Set the factor '(-5 + q)' equal to zero and attempt to solve:

Simplifying
-5 + q = 0

Solving
-5 + q = 0

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

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

Combine like terms: -5 + 5 = 0
0 + q = 0 + 5
q = 0 + 5

Combine like terms: 0 + 5 = 5
q = 5

Simplifying
q = 5
Solution
q = {-5, 5}