2q^2-200q=0

Solution for 2q^2-200q=0 equation:

Simplifying
2q2 + -200q = 0

Reorder the terms:
-200q + 2q2 = 0

Solving
-200q + 2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2q'.
2q(-100 + 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 '(-100 + q)' equal to zero and attempt to solve:

Simplifying
-100 + q = 0

Solving
-100 + q = 0

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

Add '100' to each side of the equation.
-100 + 100 + q = 0 + 100

Combine like terms: -100 + 100 = 0
0 + q = 0 + 100
q = 0 + 100

Combine like terms: 0 + 100 = 100
q = 100

Simplifying
q = 100
Solution
q = {0, 100}