3a^2=12ab

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Solution for 3a^2=12ab equation:


Simplifying
3a2 = 12ab

Solving
3a2 = 12ab

Solving for variable 'a'.

Reorder the terms:
-12ab + 3a2 = 12ab + -12ab

Combine like terms: 12ab + -12ab = 0
-12ab + 3a2 = 0

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-4b + a) = 0

Ignore the factor 3.

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 '(-4b + a)' equal to zero and attempt to solve: Simplifying -4b + a = 0 Reorder the terms: a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4b

Solution

a = {0, 4b}

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