2a(3a+5b)=

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Solution for 2a(3a+5b)= equation: 


Simplifying
2a(3a + 5b) = 0
(3a * 2a + 5b * 2a) = 0

Reorder the terms:
(10ab + 6a2) = 0
(10ab + 6a2) = 0

Solving
10ab + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(5b + 3a) = 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 '(5b + 3a)' equal to zero and attempt to solve:

Simplifying
5b + 3a = 0

Reorder the terms:
3a + 5b = 0

Solving
3a + 5b = 0

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

Add '-5b' to each side of the equation.
3a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
3a + 0 = 0 + -5b
3a = 0 + -5b
Remove the zero:
3a = -5b

Divide each side by '3'.
a = -1.666666667b

Simplifying
a = -1.666666667b
Solution
a = {0, -1.666666667b}

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