25b^2+10b=-1

Solution for 25b^2+10b=-1 equation:

Simplifying
25b2 + 10b = -1

Reorder the terms:
10b + 25b2 = -1

Solving
10b + 25b2 = -1

Solving for variable 'b'.

Reorder the terms:
1 + 10b + 25b2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 10b + 25b2 = 0

Factor a trinomial.
(1 + 5b)(1 + 5b) = 0

Subproblem 1
Set the factor '(1 + 5b)' equal to zero and attempt to solve:

Simplifying
1 + 5b = 0

Solving
1 + 5b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5b = 0 + -1
5b = 0 + -1

Combine like terms: 0 + -1 = -1
5b = -1

Divide each side by '5'.
b = -0.2

Simplifying
b = -0.2
Subproblem 2
Set the factor '(1 + 5b)' equal to zero and attempt to solve:

Simplifying
1 + 5b = 0

Solving
1 + 5b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5b = 0 + -1
5b = 0 + -1

Combine like terms: 0 + -1 = -1
5b = -1

Divide each side by '5'.
b = -0.2

Simplifying
b = -0.2
Solution
b = {-0.2, -0.2}