2b^2=5b

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Solution for 2b^2=5b equation:


Simplifying
2b2 = 5b

Solving
2b2 = 5b

Solving for variable 'b'.

Reorder the terms:
-5b + 2b2 = 5b + -5b

Combine like terms: 5b + -5b = 0
-5b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-5 + 2b) = 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 '(-5 + 2b)' equal to zero and attempt to solve: Simplifying -5 + 2b = 0 Solving -5 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2b = 0 + 5 2b = 0 + 5 Combine like terms: 0 + 5 = 5 2b = 5 Divide each side by '2'. b = 2.5 Simplifying b = 2.5

Solution

b = {0, 2.5}

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