3U^2+14U+16=

Solution for 3U^2+14U+16= equation:

Simplifying
3U2 + 14U + 16 = 0

Reorder the terms:
16 + 14U + 3U2 = 0

Solving
16 + 14U + 3U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(8 + 3U)(2 + U) = 0

Subproblem 1
Set the factor '(8 + 3U)' equal to zero and attempt to solve:

Simplifying
8 + 3U = 0

Solving
8 + 3U = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3U = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3U = 0 + -8
3U = 0 + -8

Combine like terms: 0 + -8 = -8
3U = -8

Divide each side by '3'.
U = -2.666666667

Simplifying
U = -2.666666667
Subproblem 2
Set the factor '(2 + U)' equal to zero and attempt to solve:

Simplifying
2 + U = 0

Solving
2 + U = 0

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

Add '-2' to each side of the equation.
2 + -2 + U = 0 + -2

Combine like terms: 2 + -2 = 0
0 + U = 0 + -2
U = 0 + -2

Combine like terms: 0 + -2 = -2
U = -2

Simplifying
U = -2
Solution
U = {-2.666666667, -2}