X^2-(2b-1)+(b^2-b-20)=0

Solution for X^2-(2b-1)+(b^2-b-20)=0 equation:

Simplifying
X2 + -1(2b + -1) + (b2 + -1b + -20) = 0

Reorder the terms:
X2 + -1(-1 + 2b) + (b2 + -1b + -20) = 0
X2 + (-1 * -1 + 2b * -1) + (b2 + -1b + -20) = 0
X2 + (1 + -2b) + (b2 + -1b + -20) = 0

Reorder the terms:
X2 + 1 + -2b + (-20 + -1b + b2) = 0

Remove parenthesis around (-20 + -1b + b2)
X2 + 1 + -2b + -20 + -1b + b2 = 0

Reorder the terms:
1 + -20 + X2 + -2b + -1b + b2 = 0

Combine like terms: 1 + -20 = -19
-19 + X2 + -2b + -1b + b2 = 0

Combine like terms: -2b + -1b = -3b
-19 + X2 + -3b + b2 = 0

Solving
-19 + X2 + -3b + b2 = 0

Solving for variable 'X'.

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

Add '19' to each side of the equation.
-19 + X2 + -3b + 19 + b2 = 0 + 19

Reorder the terms:
-19 + 19 + X2 + -3b + b2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + X2 + -3b + b2 = 0 + 19
X2 + -3b + b2 = 0 + 19

Combine like terms: 0 + 19 = 19
X2 + -3b + b2 = 19

Add '3b' to each side of the equation.
X2 + -3b + 3b + b2 = 19 + 3b

Combine like terms: -3b + 3b = 0
X2 + 0 + b2 = 19 + 3b
X2 + b2 = 19 + 3b

Add '-1b2' to each side of the equation.
X2 + b2 + -1b2 = 19 + 3b + -1b2

Combine like terms: b2 + -1b2 = 0
X2 + 0 = 19 + 3b + -1b2
X2 = 19 + 3b + -1b2

Simplifying
X2 = 19 + 3b + -1b2

Reorder the terms:
-19 + X2 + -3b + b2 = 19 + 3b + -1b2 + -19 + -3b + b2

Reorder the terms:
-19 + X2 + -3b + b2 = 19 + -19 + 3b + -3b + -1b2 + b2

Combine like terms: 19 + -19 = 0
-19 + X2 + -3b + b2 = 0 + 3b + -3b + -1b2 + b2
-19 + X2 + -3b + b2 = 3b + -3b + -1b2 + b2

Combine like terms: 3b + -3b = 0
-19 + X2 + -3b + b2 = 0 + -1b2 + b2
-19 + X2 + -3b + b2 = -1b2 + b2

Combine like terms: -1b2 + b2 = 0
-19 + X2 + -3b + b2 = 0

The solution to this equation could not be determined.