Ab=5bc

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Solution for Ab=5bc equation:


Simplifying
Ab = 5bc

Solving
bA = 5bc

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-5bc' to each side of the equation.
bA + -5bc = 5bc + -5bc

Combine like terms: 5bc + -5bc = 0
bA + -5bc = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(A + -5c) = 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 '(A + -5c)' equal to zero and attempt to solve: Simplifying A + -5c = 0 Solving A + -5c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1A' to each side of the equation. A + -1A + -5c = 0 + -1A Combine like terms: A + -1A = 0 0 + -5c = 0 + -1A -5c = 0 + -1A Remove the zero: -5c = -1A Add '5c' to each side of the equation. -5c + 5c = -1A + 5c Combine like terms: -5c + 5c = 0 0 = -1A + 5c Simplifying 0 = -1A + 5c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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