3b^2=27b

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Solution for 3b^2=27b equation:


Simplifying
3b2 = 27b

Solving
3b2 = 27b

Solving for variable 'b'.

Reorder the terms:
-27b + 3b2 = 27b + -27b

Combine like terms: 27b + -27b = 0
-27b + 3b2 = 0

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-9 + 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 '(-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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