b^2-3b=14+2b

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


Simplifying
b2 + -3b = 14 + 2b

Reorder the terms:
-3b + b2 = 14 + 2b

Solving
-3b + b2 = 14 + 2b

Solving for variable 'b'.

Reorder the terms:
-14 + -3b + -2b + b2 = 14 + 2b + -14 + -2b

Combine like terms: -3b + -2b = -5b
-14 + -5b + b2 = 14 + 2b + -14 + -2b

Reorder the terms:
-14 + -5b + b2 = 14 + -14 + 2b + -2b

Combine like terms: 14 + -14 = 0
-14 + -5b + b2 = 0 + 2b + -2b
-14 + -5b + b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
-14 + -5b + b2 = 0

Factor a trinomial.
(-2 + -1b)(7 + -1b) = 0


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

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b = 0 + 2
-1b = 0 + 2

Combine like terms: 0 + 2 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2

Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {-2, 7}

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