3q+8q^2=5

Solution for 3q+8q^2=5 equation:

Simplifying
3q + 8q2 = 5

Solving
3q + 8q2 = 5

Solving for variable 'q'.

Reorder the terms:
-5 + 3q + 8q2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 3q + 8q2 = 0

Factor a trinomial.
(-1 + -1q)(5 + -8q) = 0

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

Simplifying
-1 + -1q = 0

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

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

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

Divide each side by '-1'.
q = -1

Simplifying
q = -1
Subproblem 2
Set the factor '(5 + -8q)' equal to zero and attempt to solve:

Simplifying
5 + -8q = 0

Solving
5 + -8q = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8q = 0 + -5
-8q = 0 + -5

Combine like terms: 0 + -5 = -5
-8q = -5

Divide each side by '-8'.
q = 0.625

Simplifying
q = 0.625
Solution
q = {-1, 0.625}