9b=-b^2

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Solution for 9b=-b^2 equation:


Simplifying
9b = -1b2

Solving
9b = -1b2

Solving for variable 'b'.

Combine like terms: -1b2 + b2 = 0
9b + b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(9 + 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 '(9 + b)' equal to zero and attempt to solve: Simplifying 9 + b = 0 Solving 9 + b = 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 + b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + b = 0 + -9 b = 0 + -9 Combine like terms: 0 + -9 = -9 b = -9 Simplifying b = -9

Solution

b = {0, -9}

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