6a(a)=18a

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Solution for 6a(a)=18a equation:


Simplifying
6a(a) = 18a

Multiply a * a
6a2 = 18a

Solving
6a2 = 18a

Solving for variable 'a'.

Reorder the terms:
-18a + 6a2 = 18a + -18a

Combine like terms: 18a + -18a = 0
-18a + 6a2 = 0

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-3 + a) = 0

Ignore the factor 6.

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

Solution

a = {0, 3}

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