18=b(b-7)

Solution for 18=b(b-7) equation:

Simplifying
18 = b(b + -7)

Reorder the terms:
18 = b(-7 + b)
18 = (-7 * b + b * b)
18 = (-7b + b2)

Solving
18 = -7b + b2

Solving for variable 'b'.

Reorder the terms:
18 + 7b + -1b2 = -7b + 7b + b2 + -1b2

Combine like terms: -7b + 7b = 0
18 + 7b + -1b2 = 0 + b2 + -1b2
18 + 7b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
18 + 7b + -1b2 = 0

Factor a trinomial.
(9 + -1b)(2 + b) = 0

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

Simplifying
2 + b = 0

Solving
2 + b = 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 + b = 0 + -2

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

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

Simplifying
b = -2
Solution
b = {9, -2}