5a(12a+7)=0

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Solution for 5a(12a+7)=0 equation: 


Simplifying
5a(12a + 7) = 0

Reorder the terms:
5a(7 + 12a) = 0
(7 * 5a + 12a * 5a) = 0
(35a + 60a2) = 0

Solving
35a + 60a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(7 + 12a) = 0

Ignore the factor 5.

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 '(7 + 12a)' equal to zero and attempt to solve:

Simplifying
7 + 12a = 0

Solving
7 + 12a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 12a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 12a = 0 + -7
12a = 0 + -7

Combine like terms: 0 + -7 = -7
12a = -7

Divide each side by '12'.
a = -0.5833333333

Simplifying
a = -0.5833333333
Solution
a = {0, -0.5833333333}

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