3a(a-2)=12a

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Solution for 3a(a-2)=12a equation:


Simplifying
3a(a + -2) = 12a

Reorder the terms:
3a(-2 + a) = 12a
(-2 * 3a + a * 3a) = 12a
(-6a + 3a2) = 12a

Solving
-6a + 3a2 = 12a

Solving for variable 'a'.

Reorder the terms:
-6a + -12a + 3a2 = 12a + -12a

Combine like terms: -6a + -12a = -18a
-18a + 3a2 = 12a + -12a

Combine like terms: 12a + -12a = 0
-18a + 3a2 = 0

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-6 + 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 '(-6 + a)' equal to zero and attempt to solve: Simplifying -6 + a = 0 Solving -6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + a = 0 + 6 a = 0 + 6 Combine like terms: 0 + 6 = 6 a = 6 Simplifying a = 6

Solution

a = {0, 6}

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