3b^2=10b

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Solution for 3b^2=10b equation:


Simplifying
3b2 = 10b

Solving
3b2 = 10b

Solving for variable 'b'.

Reorder the terms:
-10b + 3b2 = 10b + -10b

Combine like terms: 10b + -10b = 0
-10b + 3b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-10 + 3b) = 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 '(-10 + 3b)' equal to zero and attempt to solve: Simplifying -10 + 3b = 0 Solving -10 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3b = 0 + 10 3b = 0 + 10 Combine like terms: 0 + 10 = 10 3b = 10 Divide each side by '3'. b = 3.333333333 Simplifying b = 3.333333333

Solution

b = {0, 3.333333333}

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