-5a(a+b)=

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Solution for -5a(a+b)= equation: 


Simplifying
-5a(a + b) = 0
(a * -5a + b * -5a) = 0

Reorder the terms:
(-5ab + -5a2) = 0
(-5ab + -5a2) = 0

Solving
-5ab + -5a2 = 0

Solving for variable 'a'.

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

Simplifying
b + a = 0

Reorder the terms:
a + b = 0

Solving
a + b = 0

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

Add '-1b' to each side of the equation.
a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
a + 0 = 0 + -1b
a = 0 + -1b
Remove the zero:
a = -1b

Simplifying
a = -1b
Solution
a = {0, -1b}

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