4a+5a(3a+10)=

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Solution for 4a+5a(3a+10)= equation: 


Simplifying
4a + 5a(3a + 10) = 0

Reorder the terms:
4a + 5a(10 + 3a) = 0
4a + (10 * 5a + 3a * 5a) = 0
4a + (50a + 15a2) = 0

Combine like terms: 4a + 50a = 54a
54a + 15a2 = 0

Solving
54a + 15a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(18 + 5a) = 0

Ignore the factor 3.

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 '(18 + 5a)' equal to zero and attempt to solve:

Simplifying
18 + 5a = 0

Solving
18 + 5a = 0

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

Add '-18' to each side of the equation.
18 + -18 + 5a = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 5a = 0 + -18
5a = 0 + -18

Combine like terms: 0 + -18 = -18
5a = -18

Divide each side by '5'.
a = -3.6

Simplifying
a = -3.6
Solution
a = {0, -3.6}

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