3*a^2=6*a

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Solution for 3*a^2=6*a equation:


Simplifying
3a2 = 6a

Solving
3a2 = 6a

Solving for variable 'a'.

Reorder the terms:
-6a + 3a2 = 6a + -6a

Combine like terms: 6a + -6a = 0
-6a + 3a2 = 0

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-2 + 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 '(-2 + a)' equal to zero and attempt to solve: Simplifying -2 + a = 0 Solving -2 + a = 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 + a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a = 0 + 2 a = 0 + 2 Combine like terms: 0 + 2 = 2 a = 2 Simplifying a = 2

Solution

a = {0, 2}

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