u^2+8u+16=2u^2+6u+17

Solution for u^2+8u+16=2u^2+6u+17 equation:

Simplifying
u2 + 8u + 16 = 2u2 + 6u + 17

Reorder the terms:
16 + 8u + u2 = 2u2 + 6u + 17

Reorder the terms:
16 + 8u + u2 = 17 + 6u + 2u2

Solving
16 + 8u + u2 = 17 + 6u + 2u2

Solving for variable 'u'.

Reorder the terms:
16 + -17 + 8u + -6u + u2 + -2u2 = 17 + 6u + 2u2 + -17 + -6u + -2u2

Combine like terms: 16 + -17 = -1
-1 + 8u + -6u + u2 + -2u2 = 17 + 6u + 2u2 + -17 + -6u + -2u2

Combine like terms: 8u + -6u = 2u
-1 + 2u + u2 + -2u2 = 17 + 6u + 2u2 + -17 + -6u + -2u2

Combine like terms: u2 + -2u2 = -1u2
-1 + 2u + -1u2 = 17 + 6u + 2u2 + -17 + -6u + -2u2

Reorder the terms:
-1 + 2u + -1u2 = 17 + -17 + 6u + -6u + 2u2 + -2u2

Combine like terms: 17 + -17 = 0
-1 + 2u + -1u2 = 0 + 6u + -6u + 2u2 + -2u2
-1 + 2u + -1u2 = 6u + -6u + 2u2 + -2u2

Combine like terms: 6u + -6u = 0
-1 + 2u + -1u2 = 0 + 2u2 + -2u2
-1 + 2u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-1 + 2u + -1u2 = 0

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

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

Simplifying
-1 + u = 0

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

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

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

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

Simplifying
1 + -1u = 0

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

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

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

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

Simplifying
u = 1
Solution
u = {1, 1}