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

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


Simplifying
x2 + -1(2b + -1) * x + (b2 + -1b + -20) * x = 0

Reorder the terms:
x2 + -1(-1 + 2b) * x + (b2 + -1b + -20) * x = 0

Reorder the terms for easier multiplication:
x2 + -1x(-1 + 2b) + (b2 + -1b + -20) * x = 0
x2 + (-1 * -1x + 2b * -1x) + (b2 + -1b + -20) * x = 0

Reorder the terms:
x2 + (-2bx + 1x) + (b2 + -1b + -20) * x = 0
x2 + (-2bx + 1x) + (b2 + -1b + -20) * x = 0

Reorder the terms:
x2 + -2bx + 1x + (-20 + -1b + b2) * x = 0

Reorder the terms for easier multiplication:
x2 + -2bx + 1x + x(-20 + -1b + b2) = 0
x2 + -2bx + 1x + (-20 * x + -1b * x + b2 * x) = 0

Reorder the terms:
x2 + -2bx + 1x + (-1bx + b2x + -20x) = 0
x2 + -2bx + 1x + (-1bx + b2x + -20x) = 0

Reorder the terms:
-2bx + -1bx + b2x + 1x + -20x + x2 = 0

Combine like terms: -2bx + -1bx = -3bx
-3bx + b2x + 1x + -20x + x2 = 0

Combine like terms: 1x + -20x = -19x
-3bx + b2x + -19x + x2 = 0

Solving
-3bx + b2x + -19x + x2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3b + b2 + -19 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3b + b2 + -19 + x)' equal to zero and attempt to solve:

Simplifying
-3b + b2 + -19 + x = 0

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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