b^2+cb+b=0factors

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Solution for b^2+cb+b=0factors equation:


Simplifying
b2 + cb + b = 0factors

Reorder the terms:
b + bc + b2 = 0factors

Anything times zero is zero.
b + bc + b2 = 0acforst

Solving
b + bc + b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(1 + c + 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 '(1 + c + b)' equal to zero and attempt to solve: Simplifying 1 + c + b = 0 Reorder the terms: 1 + b + c = 0 Solving 1 + b + c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + b + -1 + c = 0 + -1 Reorder the terms: 1 + -1 + b + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b + c = 0 + -1 b + c = 0 + -1 Combine like terms: 0 + -1 = -1 b + c = -1 Add '-1c' to each side of the equation. b + c + -1c = -1 + -1c Combine like terms: c + -1c = 0 b + 0 = -1 + -1c b = -1 + -1c Simplifying b = -1 + -1c

Solution

b = {0, -1 + -1c}

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