3a(a+5+7a)=

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Solution for 3a(a+5+7a)= equation: 


Simplifying
3a(a + 5 + 7a) = 0

Reorder the terms:
3a(5 + a + 7a) = 0

Combine like terms: a + 7a = 8a
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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