4a^3+44a^2=0

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Solution for 4a^3+44a^2=0 equation:


Simplifying
4a3 + 44a2 = 0

Reorder the terms:
44a2 + 4a3 = 0

Solving
44a2 + 4a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2'.
4a2(11 + a) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(11 + a)' equal to zero and attempt to solve: Simplifying 11 + a = 0 Solving 11 + a = 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 + a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + a = 0 + -11 a = 0 + -11 Combine like terms: 0 + -11 = -11 a = -11 Simplifying a = -11

Solution

a = {0, -11}

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