u^2-8(u+1)+4(1+u)+u=

Solution for u^2-8(u+1)+4(1+u)+u= equation:

Simplifying
u2 + -8(u + 1) + 4(1 + u) + u = 0

Reorder the terms:
u2 + -8(1 + u) + 4(1 + u) + u = 0
u2 + (1 * -8 + u * -8) + 4(1 + u) + u = 0
u2 + (-8 + -8u) + 4(1 + u) + u = 0
u2 + -8 + -8u + (1 * 4 + u * 4) + u = 0
u2 + -8 + -8u + (4 + 4u) + u = 0

Reorder the terms:
-8 + 4 + -8u + 4u + u + u2 = 0

Combine like terms: -8 + 4 = -4
-4 + -8u + 4u + u + u2 = 0

Combine like terms: -8u + 4u = -4u
-4 + -4u + u + u2 = 0

Combine like terms: -4u + u = -3u
-4 + -3u + u2 = 0

Solving
-4 + -3u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -1u)(4 + -1u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {-1, 4}