4a^2=16a

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Solution for 4a^2=16a equation:


Simplifying
4a2 = 16a

Solving
4a2 = 16a

Solving for variable 'a'.

Reorder the terms:
-16a + 4a2 = 16a + -16a

Combine like terms: 16a + -16a = 0
-16a + 4a2 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-4 + a) = 0

Ignore the factor 4.

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 '(-4 + a)' equal to zero and attempt to solve: Simplifying -4 + a = 0 Solving -4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4

Solution

a = {0, 4}

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