-8u^2+16u=8

Solution for -8u^2+16u=8 equation:

Simplifying
-8u2 + 16u = 8

Reorder the terms:
16u + -8u2 = 8

Solving
16u + -8u2 = 8

Solving for variable 'u'.

Reorder the terms:
-8 + 16u + -8u2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 16u + -8u2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + 2u + -1u2) = 0

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

Ignore the factor 8.
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}