5b^2=8b

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Solution for 5b^2=8b equation:


Simplifying
5b2 = 8b

Solving
5b2 = 8b

Solving for variable 'b'.

Reorder the terms:
-8b + 5b2 = 8b + -8b

Combine like terms: 8b + -8b = 0
-8b + 5b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-8 + 5b) = 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 '(-8 + 5b)' equal to zero and attempt to solve: Simplifying -8 + 5b = 0 Solving -8 + 5b = 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 + 5b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5b = 0 + 8 5b = 0 + 8 Combine like terms: 0 + 8 = 8 5b = 8 Divide each side by '5'. b = 1.6 Simplifying b = 1.6

Solution

b = {0, 1.6}

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