2a^2=48a

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Solution for 2a^2=48a equation:


Simplifying
2a2 = 48a

Solving
2a2 = 48a

Solving for variable 'a'.

Reorder the terms:
-48a + 2a2 = 48a + -48a

Combine like terms: 48a + -48a = 0
-48a + 2a2 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-24 + a) = 0

Ignore the factor 2.

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 '(-24 + a)' equal to zero and attempt to solve: Simplifying -24 + a = 0 Solving -24 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + a = 0 + 24 a = 0 + 24 Combine like terms: 0 + 24 = 24 a = 24 Simplifying a = 24

Solution

a = {0, 24}

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