b^2-2b=4b+40

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Solution for b^2-2b=4b+40 equation: 


Simplifying
b2 + -2b = 4b + 40

Reorder the terms:
-2b + b2 = 4b + 40

Reorder the terms:
-2b + b2 = 40 + 4b

Solving
-2b + b2 = 40 + 4b

Solving for variable 'b'.

Reorder the terms:
-40 + -2b + -4b + b2 = 40 + 4b + -40 + -4b

Combine like terms: -2b + -4b = -6b
-40 + -6b + b2 = 40 + 4b + -40 + -4b

Reorder the terms:
-40 + -6b + b2 = 40 + -40 + 4b + -4b

Combine like terms: 40 + -40 = 0
-40 + -6b + b2 = 0 + 4b + -4b
-40 + -6b + b2 = 4b + -4b

Combine like terms: 4b + -4b = 0
-40 + -6b + b2 = 0

Factor a trinomial.
(-4 + -1b)(10 + -1b) = 0


Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve:

Simplifying
-4 + -1b = 0

Solving
-4 + -1b = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1b = 0 + 4
-1b = 0 + 4

Combine like terms: 0 + 4 = 4
-1b = 4

Divide each side by '-1'.
b = -4

Simplifying
b = -4

Subproblem 2
Set the factor '(10 + -1b)' equal to zero and attempt to solve:

Simplifying
10 + -1b = 0

Solving
10 + -1b = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1b = 0 + -10
-1b = 0 + -10

Combine like terms: 0 + -10 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10
Solution
b = {-4, 10}

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