a^2=2a

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Solution for a^2=2a equation:


Simplifying
a2 = 2a

Solving
a2 = 2a

Solving for variable 'a'.

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

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

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

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 '(-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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