3j^3+6j^2=0

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Solution for 3j^3+6j^2=0 equation:


Simplifying
3j3 + 6j2 = 0

Reorder the terms:
6j2 + 3j3 = 0

Solving
6j2 + 3j3 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '3j2'.
3j2(2 + j) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'j2' equal to zero and attempt to solve: Simplifying j2 = 0 Solving j2 = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j2 = 0 Take the square root of each side: j = {0}

Subproblem 2

Set the factor '(2 + j)' equal to zero and attempt to solve: Simplifying 2 + j = 0 Solving 2 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + j = 0 + -2 Combine like terms: 2 + -2 = 0 0 + j = 0 + -2 j = 0 + -2 Combine like terms: 0 + -2 = -2 j = -2 Simplifying j = -2

Solution

j = {0, -2}

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