(a-5)a=0

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Solution for (a-5)a=0 equation:


Simplifying
(a + -5) * a = 0

Reorder the terms:
(-5 + a) * a = 0

Reorder the terms for easier multiplication:
a(-5 + a) = 0
(-5 * a + a * a) = 0
(-5a + a2) = 0

Solving
-5a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-5 + 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 '(-5 + a)' equal to zero and attempt to solve: Simplifying -5 + a = 0 Solving -5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a = 0 + 5 a = 0 + 5 Combine like terms: 0 + 5 = 5 a = 5 Simplifying a = 5

Solution

a = {0, 5}

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