2q^2=40q

Solution for 2q^2=40q equation:

Simplifying
2q2 = 40q

Solving
2q2 = 40q

Solving for variable 'q'.

Reorder the terms:
-40q + 2q2 = 40q + -40q

Combine like terms: 40q + -40q = 0
-40q + 2q2 = 0

Factor out the Greatest Common Factor (GCF), '2q'.
2q(-20 + q) = 0

Ignore the factor 2.
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 '(-20 + q)' equal to zero and attempt to solve:

Simplifying
-20 + q = 0

Solving
-20 + q = 0

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

Add '20' to each side of the equation.
-20 + 20 + q = 0 + 20

Combine like terms: -20 + 20 = 0
0 + q = 0 + 20
q = 0 + 20

Combine like terms: 0 + 20 = 20
q = 20

Simplifying
q = 20
Solution
q = {0, 20}