b^2-3b=154

Solution for b^2-3b=154 equation:

Simplifying
b2 + -3b = 154

Reorder the terms:
-3b + b2 = 154

Solving
-3b + b2 = 154

Solving for variable 'b'.

Reorder the terms:
-154 + -3b + b2 = 154 + -154

Combine like terms: 154 + -154 = 0
-154 + -3b + b2 = 0

Factor a trinomial.
(-11 + -1b)(14 + -1b) = 0

Subproblem 1
Set the factor '(-11 + -1b)' equal to zero and attempt to solve:

Simplifying
-11 + -1b = 0

Solving
-11 + -1b = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1b = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1b = 0 + 11
-1b = 0 + 11

Combine like terms: 0 + 11 = 11
-1b = 11

Divide each side by '-1'.
b = -11

Simplifying
b = -11
Subproblem 2
Set the factor '(14 + -1b)' equal to zero and attempt to solve:

Simplifying
14 + -1b = 0

Solving
14 + -1b = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1b = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1b = 0 + -14
-1b = 0 + -14

Combine like terms: 0 + -14 = -14
-1b = -14

Divide each side by '-1'.
b = 14

Simplifying
b = 14
Solution
b = {-11, 14}