5a(2a+3a-c)=

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


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

Combine like terms: 2a + 3a = 5a
5a(5a + -1c) = 0
(5a * 5a + -1c * 5a) = 0

Reorder the terms:
(-5ac + 25a2) = 0
(-5ac + 25a2) = 0

Solving
-5ac + 25a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-1c + 5a) = 0

Ignore the factor 5.

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 '(-1c + 5a)' equal to zero and attempt to solve:

Simplifying
-1c + 5a = 0

Reorder the terms:
5a + -1c = 0

Solving
5a + -1c = 0

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

Add 'c' to each side of the equation.
5a + -1c + c = 0 + c

Combine like terms: -1c + c = 0
5a + 0 = 0 + c
5a = 0 + c
Remove the zero:
5a = c

Divide each side by '5'.
a = 0.2c

Simplifying
a = 0.2c
Solution
a = {0, 0.2c}

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