b^2=18-7b

Solution for b^2=18-7b equation:

Simplifying
b2 = 18 + -7b

Solving
b2 = 18 + -7b

Solving for variable 'b'.

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

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

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

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

Factor a trinomial.
(-9 + -1b)(2 + -1b) = 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 + -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
Solution
b = {-9, 2}