b(14b+5)=9

Solution for b(14b+5)=9 equation:

Simplifying
b(14b + 5) = 9

Reorder the terms:
b(5 + 14b) = 9
(5 * b + 14b * b) = 9
(5b + 14b2) = 9

Solving
5b + 14b2 = 9

Solving for variable 'b'.

Reorder the terms:
-9 + 5b + 14b2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 5b + 14b2 = 0

Factor a trinomial.
(-1 + -1b)(9 + -14b) = 0

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

Simplifying
-1 + -1b = 0

Solving
-1 + -1b = 0

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

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

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

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

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

Simplifying
b = -1
Subproblem 2
Set the factor '(9 + -14b)' equal to zero and attempt to solve:

Simplifying
9 + -14b = 0

Solving
9 + -14b = 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 + -14b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -14b = 0 + -9
-14b = 0 + -9

Combine like terms: 0 + -9 = -9
-14b = -9

Divide each side by '-14'.
b = 0.6428571429

Simplifying
b = 0.6428571429
Solution
b = {-1, 0.6428571429}