a(13a+3)=0

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Solution for a(13a+3)=0 equation:


Simplifying
a(13a + 3) = 0

Reorder the terms:
a(3 + 13a) = 0
(3 * a + 13a * a) = 0
(3a + 13a2) = 0

Solving
3a + 13a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + 13a) = 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 '(3 + 13a)' equal to zero and attempt to solve: Simplifying 3 + 13a = 0 Solving 3 + 13a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13a = 0 + -3 13a = 0 + -3 Combine like terms: 0 + -3 = -3 13a = -3 Divide each side by '13'. a = -0.2307692308 Simplifying a = -0.2307692308

Solution

a = {0, -0.2307692308}

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