a(3a+2)+5a(2a+1)=

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Solution for a(3a+2)+5a(2a+1)= equation: 


Simplifying
a(3a + 2) + 5a(2a + 1) = 0

Reorder the terms:
a(2 + 3a) + 5a(2a + 1) = 0
(2 * a + 3a * a) + 5a(2a + 1) = 0
(2a + 3a2) + 5a(2a + 1) = 0

Reorder the terms:
2a + 3a2 + 5a(1 + 2a) = 0
2a + 3a2 + (1 * 5a + 2a * 5a) = 0
2a + 3a2 + (5a + 10a2) = 0

Reorder the terms:
2a + 5a + 3a2 + 10a2 = 0

Combine like terms: 2a + 5a = 7a
7a + 3a2 + 10a2 = 0

Combine like terms: 3a2 + 10a2 = 13a2
7a + 13a2 = 0

Solving
7a + 13a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(7 + 13a) = 0


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 '(7 + 13a)' equal to zero and attempt to solve:

Simplifying
7 + 13a = 0

Solving
7 + 13a = 0

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

Add '-7' to each side of the equation.
7 + -7 + 13a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 13a = 0 + -7
13a = 0 + -7

Combine like terms: 0 + -7 = -7
13a = -7

Divide each side by '13'.
a = -0.5384615385

Simplifying
a = -0.5384615385
Solution
a = {0, -0.5384615385}

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