28n^2+44n+16=0

Solution for 28n^2+44n+16=0 equation:

Simplifying
28n2 + 44n + 16 = 0

Reorder the terms:
16 + 44n + 28n2 = 0

Solving
16 + 44n + 28n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 11n + 7n2) = 0

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

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

Simplifying
1 + n = 0

Solving
1 + n = 0

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

Add '-1' to each side of the equation.
1 + -1 + n = 0 + -1

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

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

Simplifying
n = -1
Subproblem 2
Set the factor '(4 + 7n)' equal to zero and attempt to solve:

Simplifying
4 + 7n = 0

Solving
4 + 7n = 0

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

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

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

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

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

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