b^2=-5b

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Solution for b^2=-5b equation:


Simplifying
b2 = -5b

Solving
b2 = -5b

Solving for variable 'b'.

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

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

Factor out the Greatest Common Factor (GCF), 'b'.
b(5 + 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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5

Solution

b = {0, -5}

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