6a(2a+5)=

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Solution for 6a(2a+5)= equation:


Simplifying
6a(2a + 5) = 0

Reorder the terms:
6a(5 + 2a) = 0
(5 * 6a + 2a * 6a) = 0
(30a + 12a2) = 0

Solving
30a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(5 + 2a) = 0

Ignore the factor 6.

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 + 2a)' equal to zero and attempt to solve: Simplifying 5 + 2a = 0 Solving 5 + 2a = 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 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5

Solution

a = {0, -2.5}

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