2a(5a+8b)=0

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Solution for 2a(5a+8b)=0 equation: 


Simplifying
2a(5a + 8b) = 0
(5a * 2a + 8b * 2a) = 0

Reorder the terms:
(16ab + 10a2) = 0
(16ab + 10a2) = 0

Solving
16ab + 10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(8b + 5a) = 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 '(8b + 5a)' equal to zero and attempt to solve:

Simplifying
8b + 5a = 0

Reorder the terms:
5a + 8b = 0

Solving
5a + 8b = 0

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

Add '-8b' to each side of the equation.
5a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
5a + 0 = 0 + -8b
5a = 0 + -8b
Remove the zero:
5a = -8b

Divide each side by '5'.
a = -1.6b

Simplifying
a = -1.6b
Solution
a = {0, -1.6b}

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