(a)(a)+16a=0

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Solution for (a)(a)+16a=0 equation:


Simplifying
(a)(a) + 16a = 0

Multiply a * a
a2 + 16a = 0

Reorder the terms:
16a + a2 = 0

Solving
16a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(16 + 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 '(16 + a)' equal to zero and attempt to solve: Simplifying 16 + a = 0 Solving 16 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + a = 0 + -16 a = 0 + -16 Combine like terms: 0 + -16 = -16 a = -16 Simplifying a = -16

Solution

a = {0, -16}

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