2q^2+5q+3=0

Solution for 2q^2+5q+3=0 equation:

Simplifying
2q2 + 5q + 3 = 0

Reorder the terms:
3 + 5q + 2q2 = 0

Solving
3 + 5q + 2q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(3 + 2q)(1 + q) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + q)' equal to zero and attempt to solve:

Simplifying
1 + q = 0

Solving
1 + q = 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 + q = 0 + -1

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

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

Simplifying
q = -1
Solution
q = {-1.5, -1}