2a(a+10)=0

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Solution for 2a(a+10)=0 equation: 


Simplifying
2a(a + 10) = 0

Reorder the terms:
2a(10 + a) = 0
(10 * 2a + a * 2a) = 0
(20a + 2a2) = 0

Solving
20a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(10 + a) = 0

Ignore the factor 2.

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

Simplifying
10 + a = 0

Solving
10 + a = 0

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

Add '-10' to each side of the equation.
10 + -10 + a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + a = 0 + -10
a = 0 + -10

Combine like terms: 0 + -10 = -10
a = -10

Simplifying
a = -10
Solution
a = {0, -10}

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