0=14u+32-u^2

Solution for 0=14u+32-u^2 equation:

Simplifying
0 = 14u + 32 + -1u2

Reorder the terms:
0 = 32 + 14u + -1u2

Solving
0 = 32 + 14u + -1u2

Solving for variable 'u'.

Combine like terms: 0 + -32 = -32
-32 + -14u + u2 = 32 + 14u + -1u2 + -32 + -14u + u2

Reorder the terms:
-32 + -14u + u2 = 32 + -32 + 14u + -14u + -1u2 + u2

Combine like terms: 32 + -32 = 0
-32 + -14u + u2 = 0 + 14u + -14u + -1u2 + u2
-32 + -14u + u2 = 14u + -14u + -1u2 + u2

Combine like terms: 14u + -14u = 0
-32 + -14u + u2 = 0 + -1u2 + u2
-32 + -14u + u2 = -1u2 + u2

Combine like terms: -1u2 + u2 = 0
-32 + -14u + u2 = 0

Factor a trinomial.
(-2 + -1u)(16 + -1u) = 0

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

Simplifying
-2 + -1u = 0

Solving
-2 + -1u = 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 + -1u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1u = 0 + 2
-1u = 0 + 2

Combine like terms: 0 + 2 = 2
-1u = 2

Divide each side by '-1'.
u = -2

Simplifying
u = -2
Subproblem 2
Set the factor '(16 + -1u)' equal to zero and attempt to solve:

Simplifying
16 + -1u = 0

Solving
16 + -1u = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1u = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1u = 0 + -16
-1u = 0 + -16

Combine like terms: 0 + -16 = -16
-1u = -16

Divide each side by '-1'.
u = 16

Simplifying
u = 16
Solution
u = {-2, 16}