3a^2-27a=0

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Solution for 3a^2-27a=0 equation:


Simplifying
3a2 + -27a = 0

Reorder the terms:
-27a + 3a2 = 0

Solving
-27a + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-9 + 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 '(-9 + a)' equal to zero and attempt to solve: Simplifying -9 + a = 0 Solving -9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + a = 0 + 9 a = 0 + 9 Combine like terms: 0 + 9 = 9 a = 9 Simplifying a = 9

Solution

a = {0, 9}

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