1-20b+19b^2=

Solution for 1-20b+19b^2= equation:

Simplifying
1 + -20b + 19b2 = 0

Solving
1 + -20b + 19b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -19b)(1 + -1b) = 0

Subproblem 1
Set the factor '(1 + -19b)' equal to zero and attempt to solve:

Simplifying
1 + -19b = 0

Solving
1 + -19b = 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 + -19b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -19b = 0 + -1
-19b = 0 + -1

Combine like terms: 0 + -1 = -1
-19b = -1

Divide each side by '-19'.
b = 0.05263157895

Simplifying
b = 0.05263157895
Subproblem 2
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
Solution
b = {0.05263157895, 1}