16u+36=u^2

Solution for 16u+36=u^2 equation:

Simplifying
16u + 36 = u2

Reorder the terms:
36 + 16u = u2

Solving
36 + 16u = u2

Solving for variable 'u'.

Combine like terms: u2 + -1u2 = 0
36 + 16u + -1u2 = 0

Factor a trinomial.
(18 + -1u)(2 + u) = 0

Subproblem 1
Set the factor '(18 + -1u)' equal to zero and attempt to solve:

Simplifying
18 + -1u = 0

Solving
18 + -1u = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1u = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1u = 0 + -18
-1u = 0 + -18

Combine like terms: 0 + -18 = -18
-1u = -18

Divide each side by '-1'.
u = 18

Simplifying
u = 18
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 = {18, -2}