8b^2=24b

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Solution for 8b^2=24b equation:


Simplifying
8b2 = 24b

Solving
8b2 = 24b

Solving for variable 'b'.

Reorder the terms:
-24b + 8b2 = 24b + -24b

Combine like terms: 24b + -24b = 0
-24b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '8b'.
8b(-3 + b) = 0

Ignore the factor 8.

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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