-23u=-2-21u^2

Solution for -23u=-2-21u^2 equation:

Simplifying
-23u = -2 + -21u2

Solving
-23u = -2 + -21u2

Solving for variable 'u'.

Reorder the terms:
2 + -23u + 21u2 = -2 + -21u2 + 2 + 21u2

Reorder the terms:
2 + -23u + 21u2 = -2 + 2 + -21u2 + 21u2

Combine like terms: -2 + 2 = 0
2 + -23u + 21u2 = 0 + -21u2 + 21u2
2 + -23u + 21u2 = -21u2 + 21u2

Combine like terms: -21u2 + 21u2 = 0
2 + -23u + 21u2 = 0

Factor a trinomial.
(2 + -21u)(1 + -1u) = 0

Subproblem 1
Set the factor '(2 + -21u)' equal to zero and attempt to solve:

Simplifying
2 + -21u = 0

Solving
2 + -21u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -21u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -21u = 0 + -2
-21u = 0 + -2

Combine like terms: 0 + -2 = -2
-21u = -2

Divide each side by '-21'.
u = 0.09523809524

Simplifying
u = 0.09523809524
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 = {0.09523809524, 1}