4b^2=36b

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Solution for 4b^2=36b equation:


Simplifying
4b2 = 36b

Solving
4b2 = 36b

Solving for variable 'b'.

Reorder the terms:
-36b + 4b2 = 36b + -36b

Combine like terms: 36b + -36b = 0
-36b + 4b2 = 0

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-9 + b) = 0

Ignore the factor 4.

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 '(-9 + b)' equal to zero and attempt to solve: Simplifying -9 + b = 0 Solving -9 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + b = 0 + 9 b = 0 + 9 Combine like terms: 0 + 9 = 9 b = 9 Simplifying b = 9

Solution

b = {0, 9}

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