b(b+26)=9(8+3b)

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Solution for b(b+26)=9(8+3b) equation: 


Simplifying
b(b + 26) = 9(8 + 3b)

Reorder the terms:
b(26 + b) = 9(8 + 3b)
(26 * b + b * b) = 9(8 + 3b)
(26b + b2) = 9(8 + 3b)
26b + b2 = (8 * 9 + 3b * 9)
26b + b2 = (72 + 27b)

Solving
26b + b2 = 72 + 27b

Solving for variable 'b'.

Reorder the terms:
-72 + 26b + -27b + b2 = 72 + 27b + -72 + -27b

Combine like terms: 26b + -27b = -1b
-72 + -1b + b2 = 72 + 27b + -72 + -27b

Reorder the terms:
-72 + -1b + b2 = 72 + -72 + 27b + -27b

Combine like terms: 72 + -72 = 0
-72 + -1b + b2 = 0 + 27b + -27b
-72 + -1b + b2 = 27b + -27b

Combine like terms: 27b + -27b = 0
-72 + -1b + b2 = 0

Factor a trinomial.
(-8 + -1b)(9 + -1b) = 0


Subproblem 1
Set the factor '(-8 + -1b)' equal to zero and attempt to solve:

Simplifying
-8 + -1b = 0

Solving
-8 + -1b = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1b = 0 + 8
-1b = 0 + 8

Combine like terms: 0 + 8 = 8
-1b = 8

Divide each side by '-1'.
b = -8

Simplifying
b = -8

Subproblem 2
Set the factor '(9 + -1b)' equal to zero and attempt to solve:

Simplifying
9 + -1b = 0

Solving
9 + -1b = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1b = 0 + -9
-1b = 0 + -9

Combine like terms: 0 + -9 = -9
-1b = -9

Divide each side by '-1'.
b = 9

Simplifying
b = 9
Solution
b = {-8, 9}

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