-11u=-8u^2-3

Solution for -11u=-8u^2-3 equation:

Simplifying
-11u = -8u2 + -3

Reorder the terms:
-11u = -3 + -8u2

Solving
-11u = -3 + -8u2

Solving for variable 'u'.

Reorder the terms:
3 + -11u + 8u2 = -3 + -8u2 + 3 + 8u2

Reorder the terms:
3 + -11u + 8u2 = -3 + 3 + -8u2 + 8u2

Combine like terms: -3 + 3 = 0
3 + -11u + 8u2 = 0 + -8u2 + 8u2
3 + -11u + 8u2 = -8u2 + 8u2

Combine like terms: -8u2 + 8u2 = 0
3 + -11u + 8u2 = 0

Factor a trinomial.
(3 + -8u)(1 + -1u) = 0

Subproblem 1
Set the factor '(3 + -8u)' equal to zero and attempt to solve:

Simplifying
3 + -8u = 0

Solving
3 + -8u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8u = 0 + -3
-8u = 0 + -3

Combine like terms: 0 + -3 = -3
-8u = -3

Divide each side by '-8'.
u = 0.375

Simplifying
u = 0.375
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 = {0.375, 1}