-3j(j+3)=9j

Solution for -3j(j+3)=9j equation:

Simplifying
-3j(j + 3) = 9j

Reorder the terms:
-3j(3 + j) = 9j
(3 * -3j + j * -3j) = 9j
(-9j + -3j2) = 9j

Solving
-9j + -3j2 = 9j

Solving for variable 'j'.

Reorder the terms:
-9j + -9j + -3j2 = 9j + -9j

Combine like terms: -9j + -9j = -18j
-18j + -3j2 = 9j + -9j

Combine like terms: 9j + -9j = 0
-18j + -3j2 = 0

Factor out the Greatest Common Factor (GCF), '-3j'.
-3j(6 + j) = 0

Ignore the factor -3.
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 '(6 + j)' equal to zero and attempt to solve:

Simplifying
6 + j = 0

Solving
6 + j = 0

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

Add '-6' to each side of the equation.
6 + -6 + j = 0 + -6

Combine like terms: 6 + -6 = 0
0 + j = 0 + -6
j = 0 + -6

Combine like terms: 0 + -6 = -6
j = -6

Simplifying
j = -6
Solution
j = {0, -6}