(5a)(a+8)=

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


Simplifying
(5a)(a + 8) = 0

Remove parenthesis around (5a)
5a(a + 8) = 0

Reorder the terms:
5a(8 + a) = 0
(8 * 5a + a * 5a) = 0
(40a + 5a2) = 0

Solving
40a + 5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(8 + a) = 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 '(8 + a)' equal to zero and attempt to solve:

Simplifying
8 + a = 0

Solving
8 + a = 0

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

Add '-8' to each side of the equation.
8 + -8 + a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a = 0 + -8
a = 0 + -8

Combine like terms: 0 + -8 = -8
a = -8

Simplifying
a = -8
Solution
a = {0, -8}

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