2b^2=4b

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Solution for 2b^2=4b equation:


Simplifying
2b2 = 4b

Solving
2b2 = 4b

Solving for variable 'b'.

Reorder the terms:
-4b + 2b2 = 4b + -4b

Combine like terms: 4b + -4b = 0
-4b + 2b2 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-2 + b) = 0

Ignore the factor 2.

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 '(-2 + b)' equal to zero and attempt to solve: Simplifying -2 + b = 0 Solving -2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + b = 0 + 2 b = 0 + 2 Combine like terms: 0 + 2 = 2 b = 2 Simplifying b = 2

Solution

b = {0, 2}

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