b^2-14b+3=-10

Solution for b^2-14b+3=-10 equation:

Simplifying
b2 + -14b + 3 = -10

Reorder the terms:
3 + -14b + b2 = -10

Solving
3 + -14b + b2 = -10

Solving for variable 'b'.

Reorder the terms:
3 + 10 + -14b + b2 = -10 + 10

Combine like terms: 3 + 10 = 13
13 + -14b + b2 = -10 + 10

Combine like terms: -10 + 10 = 0
13 + -14b + b2 = 0

Factor a trinomial.
(1 + -1b)(13 + -1b) = 0

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

Simplifying
1 + -1b = 0

Solving
1 + -1b = 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 + -1b = 0 + -1

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

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

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Subproblem 2
Set the factor '(13 + -1b)' equal to zero and attempt to solve:

Simplifying
13 + -1b = 0

Solving
13 + -1b = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1b = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1b = 0 + -13
-1b = 0 + -13

Combine like terms: 0 + -13 = -13
-1b = -13

Divide each side by '-1'.
b = 13

Simplifying
b = 13
Solution
b = {1, 13}