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

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Solution for -2a(a+3)-a=0 equation: 


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

Reorder the terms:
-2a(3 + a) + -1a = 0
(3 * -2a + a * -2a) + -1a = 0
(-6a + -2a2) + -1a = 0

Reorder the terms:
-6a + -1a + -2a2 = 0

Combine like terms: -6a + -1a = -7a
-7a + -2a2 = 0

Solving
-7a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(7 + 2a) = 0

Ignore the factor -1.

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 + 2a)' equal to zero and attempt to solve:

Simplifying
7 + 2a = 0

Solving
7 + 2a = 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 + 2a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = 0 + -7
2a = 0 + -7

Combine like terms: 0 + -7 = -7
2a = -7

Divide each side by '2'.
a = -3.5

Simplifying
a = -3.5
Solution
a = {0, -3.5}

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