(-2a)(a+3)=

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


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

Remove parenthesis around (-2a)
-2a(a + 3) = 0

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

Solving
-6a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-2a'.
-2a(3 + a) = 0

Ignore the factor -2.

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 '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3

Solution

a = {0, -3}

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