2-u=-10u(u+1)

Solution for 2-u=-10u(u+1) equation:

Simplifying
2 + -1u = -10u(u + 1)

Reorder the terms:
2 + -1u = -10u(1 + u)
2 + -1u = (1 * -10u + u * -10u)
2 + -1u = (-10u + -10u2)

Solving
2 + -1u = -10u + -10u2

Solving for variable 'u'.

Combine like terms: -1u + 10u = 9u
2 + 9u + 10u2 = -10u + -10u2 + 10u + 10u2

Reorder the terms:
2 + 9u + 10u2 = -10u + 10u + -10u2 + 10u2

Combine like terms: -10u + 10u = 0
2 + 9u + 10u2 = 0 + -10u2 + 10u2
2 + 9u + 10u2 = -10u2 + 10u2

Combine like terms: -10u2 + 10u2 = 0
2 + 9u + 10u2 = 0

Factor a trinomial.
(1 + 2u)(2 + 5u) = 0

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

Simplifying
1 + 2u = 0

Solving
1 + 2u = 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 + 2u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2u = 0 + -1
2u = 0 + -1

Combine like terms: 0 + -1 = -1
2u = -1

Divide each side by '2'.
u = -0.5

Simplifying
u = -0.5
Subproblem 2
Set the factor '(2 + 5u)' equal to zero and attempt to solve:

Simplifying
2 + 5u = 0

Solving
2 + 5u = 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 + 5u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5u = 0 + -2
5u = 0 + -2

Combine like terms: 0 + -2 = -2
5u = -2

Divide each side by '5'.
u = -0.4

Simplifying
u = -0.4
Solution
u = {-0.5, -0.4}