(u*u)=6u+16

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Solution for (u*u)=6u+16 equation: 


Simplifying
(u * u) = 6u + 16

Multiply u * u
(u2) = 6u + 16
u2 = 6u + 16

Reorder the terms:
u2 = 16 + 6u

Solving
u2 = 16 + 6u

Solving for variable 'u'.

Reorder the terms:
-16 + -6u + u2 = 16 + 6u + -16 + -6u

Reorder the terms:
-16 + -6u + u2 = 16 + -16 + 6u + -6u

Combine like terms: 16 + -16 = 0
-16 + -6u + u2 = 0 + 6u + -6u
-16 + -6u + u2 = 6u + -6u

Combine like terms: 6u + -6u = 0
-16 + -6u + u2 = 0

Factor a trinomial.
(-2 + -1u)(8 + -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 '(8 + -1u)' equal to zero and attempt to solve:

Simplifying
8 + -1u = 0

Solving
8 + -1u = 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 + -1u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1u = 0 + -8
-1u = 0 + -8

Combine like terms: 0 + -8 = -8
-1u = -8

Divide each side by '-1'.
u = 8

Simplifying
u = 8
Solution
u = {-2, 8}

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