3a(8a+5)=0

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Solution for 3a(8a+5)=0 equation:


Simplifying
3a(8a + 5) = 0

Reorder the terms:
3a(5 + 8a) = 0
(5 * 3a + 8a * 3a) = 0
(15a + 24a2) = 0

Solving
15a + 24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(5 + 8a) = 0

Ignore the factor 3.

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 + 8a)' equal to zero and attempt to solve: Simplifying 5 + 8a = 0 Solving 5 + 8a = 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 + 8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 0 + -5 8a = 0 + -5 Combine like terms: 0 + -5 = -5 8a = -5 Divide each side by '8'. a = -0.625 Simplifying a = -0.625

Solution

a = {0, -0.625}

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