4q^2=q

Solution for 4q^2=q equation:

Simplifying
4q2 = q

Solving
4q2 = q

Solving for variable 'q'.

Reorder the terms:
-1q + 4q2 = q + -1q

Combine like terms: q + -1q = 0
-1q + 4q2 = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(-1 + 4q) = 0

Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0
Subproblem 2
Set the factor '(-1 + 4q)' equal to zero and attempt to solve:

Simplifying
-1 + 4q = 0

Solving
-1 + 4q = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4q = 0 + 1
4q = 0 + 1

Combine like terms: 0 + 1 = 1
4q = 1

Divide each side by '4'.
q = 0.25

Simplifying
q = 0.25
Solution
q = {0, 0.25}