3b^2=9b

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Solution for 3b^2=9b equation:


Simplifying
3b2 = 9b

Solving
3b2 = 9b

Solving for variable 'b'.

Reorder the terms:
-9b + 3b2 = 9b + -9b

Combine like terms: 9b + -9b = 0
-9b + 3b2 = 0

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-3 + b) = 0

Ignore the factor 3.

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 '(-3 + b)' equal to zero and attempt to solve: Simplifying -3 + b = 0 Solving -3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + b = 0 + 3 b = 0 + 3 Combine like terms: 0 + 3 = 3 b = 3 Simplifying b = 3

Solution

b = {0, 3}

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