b^2=-77b

Solution for b^2=-77b equation:

Simplifying
b2 = -77b

Solving
b2 = -77b

Solving for variable 'b'.

Reorder the terms:
77b + b2 = -77b + 77b

Combine like terms: -77b + 77b = 0
77b + b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(77 + b) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(77 + b)' equal to zero and attempt to solve:

Simplifying
77 + b = 0

Solving
77 + b = 0

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

Add '-77' to each side of the equation.
77 + -77 + b = 0 + -77

Combine like terms: 77 + -77 = 0
0 + b = 0 + -77
b = 0 + -77

Combine like terms: 0 + -77 = -77
b = -77

Simplifying
b = -77
Solution
b = {0, -77}