5b^2=40b

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Solution for 5b^2=40b equation:


Simplifying
5b2 = 40b

Solving
5b2 = 40b

Solving for variable 'b'.

Reorder the terms:
-40b + 5b2 = 40b + -40b

Combine like terms: 40b + -40b = 0
-40b + 5b2 = 0

Factor out the Greatest Common Factor (GCF), '5b'.
5b(-8 + b) = 0

Ignore the factor 5.

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 '(-8 + b)' equal to zero and attempt to solve: Simplifying -8 + b = 0 Solving -8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + b = 0 + 8 b = 0 + 8 Combine like terms: 0 + 8 = 8 b = 8 Simplifying b = 8

Solution

b = {0, 8}

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