b^2+10b+26=10

Solution for b^2+10b+26=10 equation:

Simplifying
b2 + 10b + 26 = 10

Reorder the terms:
26 + 10b + b2 = 10

Solving
26 + 10b + b2 = 10

Solving for variable 'b'.

Reorder the terms:
26 + -10 + 10b + b2 = 10 + -10

Combine like terms: 26 + -10 = 16
16 + 10b + b2 = 10 + -10

Combine like terms: 10 + -10 = 0
16 + 10b + b2 = 0

Factor a trinomial.
(8 + b)(2 + b) = 0

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

Simplifying
8 + b = 0

Solving
8 + b = 0

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

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

Combine like terms: 8 + -8 = 0
0 + b = 0 + -8
b = 0 + -8

Combine like terms: 0 + -8 = -8
b = -8

Simplifying
b = -8
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

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

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Solution
b = {-8, -2}