a^2+2ab+3a=0

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Solution for a^2+2ab+3a=0 equation:


Simplifying
a2 + 2ab + 3a = 0

Reorder the terms:
3a + 2ab + a2 = 0

Solving
3a + 2ab + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + 2b + a) = 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 '(3 + 2b + a)' equal to zero and attempt to solve: Simplifying 3 + 2b + a = 0 Reorder the terms: 3 + a + 2b = 0 Solving 3 + a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + a + -3 + 2b = 0 + -3 Reorder the terms: 3 + -3 + a + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a + 2b = 0 + -3 a + 2b = 0 + -3 Combine like terms: 0 + -3 = -3 a + 2b = -3 Add '-2b' to each side of the equation. a + 2b + -2b = -3 + -2b Combine like terms: 2b + -2b = 0 a + 0 = -3 + -2b a = -3 + -2b Simplifying a = -3 + -2b

Solution

a = {0, -3 + -2b}

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