14q^2+22q+8=0

Solution for 14q^2+22q+8=0 equation:

Simplifying
14q2 + 22q + 8 = 0

Reorder the terms:
8 + 22q + 14q2 = 0

Solving
8 + 22q + 14q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 11q + 7q2) = 0

Factor a trinomial.
2((1 + q)(4 + 7q)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + 7q)' equal to zero and attempt to solve:

Simplifying
4 + 7q = 0

Solving
4 + 7q = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7q = 0 + -4
7q = 0 + -4

Combine like terms: 0 + -4 = -4
7q = -4

Divide each side by '7'.
q = -0.5714285714

Simplifying
q = -0.5714285714
Solution
q = {-1, -0.5714285714}