2q^2=3q

Solution for 2q^2=3q equation:

Simplifying
2q2 = 3q

Solving
2q2 = 3q

Solving for variable 'q'.

Reorder the terms:
-3q + 2q2 = 3q + -3q

Combine like terms: 3q + -3q = 0
-3q + 2q2 = 0

Factor out the Greatest Common Factor (GCF), 'q'.
q(-3 + 2q) = 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 '(-3 + 2q)' equal to zero and attempt to solve:

Simplifying
-3 + 2q = 0

Solving
-3 + 2q = 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 + 2q = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2q = 0 + 3
2q = 0 + 3

Combine like terms: 0 + 3 = 3
2q = 3

Divide each side by '2'.
q = 1.5

Simplifying
q = 1.5
Solution
q = {0, 1.5}