6a^2+11a+3a^2=

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Solution for 6a^2+11a+3a^2= equation:


Simplifying
6a2 + 11a + 3a2 = 0

Reorder the terms:
11a + 6a2 + 3a2 = 0

Combine like terms: 6a2 + 3a2 = 9a2
11a + 9a2 = 0

Solving
11a + 9a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(11 + 9a) = 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 '(11 + 9a)' equal to zero and attempt to solve: Simplifying 11 + 9a = 0 Solving 11 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9a = 0 + -11 9a = 0 + -11 Combine like terms: 0 + -11 = -11 9a = -11 Divide each side by '9'. a = -1.222222222 Simplifying a = -1.222222222

Solution

a = {0, -1.222222222}

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