5a(a-2)+3a=

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


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

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

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

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

Solving
-7a + 5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-7 + 5a) = 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 + 5a)' equal to zero and attempt to solve:

Simplifying
-7 + 5a = 0

Solving
-7 + 5a = 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 + 5a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5a = 0 + 7
5a = 0 + 7

Combine like terms: 0 + 7 = 7
5a = 7

Divide each side by '5'.
a = 1.4

Simplifying
a = 1.4
Solution
a = {0, 1.4}

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