6b^2=42b

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Solution for 6b^2=42b equation:


Simplifying
6b2 = 42b

Solving
6b2 = 42b

Solving for variable 'b'.

Reorder the terms:
-42b + 6b2 = 42b + -42b

Combine like terms: 42b + -42b = 0
-42b + 6b2 = 0

Factor out the Greatest Common Factor (GCF), '6b'.
6b(-7 + b) = 0

Ignore the factor 6.

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 '(-7 + b)' equal to zero and attempt to solve: Simplifying -7 + b = 0 Solving -7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + b = 0 + 7 b = 0 + 7 Combine like terms: 0 + 7 = 7 b = 7 Simplifying b = 7

Solution

b = {0, 7}

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