6j(j+7)=0

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Solution for 6j(j+7)=0 equation: 


Simplifying
6j(j + 7) = 0

Reorder the terms:
6j(7 + j) = 0
(7 * 6j + j * 6j) = 0
(42j + 6j2) = 0

Solving
42j + 6j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '6j'.
6j(7 + j) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'j' equal to zero and attempt to solve:

Simplifying
j = 0

Solving
j = 0

Move all terms containing j to the left, all other terms to the right.

Simplifying
j = 0

Subproblem 2
Set the factor '(7 + j)' equal to zero and attempt to solve:

Simplifying
7 + j = 0

Solving
7 + j = 0

Move all terms containing j to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + j = 0 + -7

Combine like terms: 7 + -7 = 0
0 + j = 0 + -7
j = 0 + -7

Combine like terms: 0 + -7 = -7
j = -7

Simplifying
j = -7
Solution
j = {0, -7}

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