8u^2+64u+56=

Solution for 8u^2+64u+56= equation:

Simplifying
8u2 + 64u + 56 = 0

Reorder the terms:
56 + 64u + 8u2 = 0

Solving
56 + 64u + 8u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '8'.
8(7 + 8u + u2) = 0

Factor a trinomial.
8((7 + u)(1 + u)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(7 + u)' equal to zero and attempt to solve:

Simplifying
7 + u = 0

Solving
7 + u = 0

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

Add '-7' to each side of the equation.
7 + -7 + u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + u = 0 + -7
u = 0 + -7

Combine like terms: 0 + -7 = -7
u = -7

Simplifying
u = -7
Subproblem 2
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
Solution
u = {-7, -1}