3a^2+11a=0

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Solution for 3a^2+11a=0 equation:


Simplifying
3a2 + 11a = 0

Reorder the terms:
11a + 3a2 = 0

Solving
11a + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(11 + 3a) = 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 + 3a)' equal to zero and attempt to solve: Simplifying 11 + 3a = 0 Solving 11 + 3a = 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 + 3a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3a = 0 + -11 3a = 0 + -11 Combine like terms: 0 + -11 = -11 3a = -11 Divide each side by '3'. a = -3.666666667 Simplifying a = -3.666666667

Solution

a = {0, -3.666666667}

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