15Q+10Q^2=

Solution for 15Q+10Q^2= equation:

Simplifying
15Q + 10Q2 = 0

Solving
15Q + 10Q2 = 0

Solving for variable 'Q'.

Factor out the Greatest Common Factor (GCF), '5Q'.
5Q(3 + 2Q) = 0

Ignore the factor 5.
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}