5u^2+3=16u

Solution for 5u^2+3=16u equation:

Simplifying
5u2 + 3 = 16u

Reorder the terms:
3 + 5u2 = 16u

Solving
3 + 5u2 = 16u

Solving for variable 'u'.

Reorder the terms:
3 + -16u + 5u2 = 16u + -16u

Combine like terms: 16u + -16u = 0
3 + -16u + 5u2 = 0

Factor a trinomial.
(1 + -5u)(3 + -1u) = 0

Subproblem 1
Set the factor '(1 + -5u)' equal to zero and attempt to solve:

Simplifying
1 + -5u = 0

Solving
1 + -5u = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5u = 0 + -1
-5u = 0 + -1

Combine like terms: 0 + -1 = -1
-5u = -1

Divide each side by '-5'.
u = 0.2

Simplifying
u = 0.2
Subproblem 2
Set the factor '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3
Solution
u = {0.2, 3}