5ab=10a

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Solution for 5ab=10a equation:


Simplifying
5ab = 10a

Solving
5ab = 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-10a + 5ab = 10a + -10a

Combine like terms: 10a + -10a = 0
-10a + 5ab = 0

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-2 + b) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 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 a 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 Add '-1b' to each side of the equation. b + -1b = 2 + -1b Combine like terms: b + -1b = 0 0 = 2 + -1b Simplifying 0 = 2 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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