9a^3-18a^2=0

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Solution for 9a^3-18a^2=0 equation:


Simplifying
9a3 + -18a2 = 0

Reorder the terms:
-18a2 + 9a3 = 0

Solving
-18a2 + 9a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9a2'.
9a2(-2 + a) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: 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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