7j(4j+6)=

Solution for 7j(4j+6)= equation:

Simplifying
7j(4j + 6) = 0

Reorder the terms:
7j(6 + 4j) = 0
(6 * 7j + 4j * 7j) = 0
(42j + 28j2) = 0

Solving
42j + 28j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '14j'.
14j(3 + 2j) = 0

Ignore the factor 14.
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 '(3 + 2j)' equal to zero and attempt to solve:

Simplifying
3 + 2j = 0

Solving
3 + 2j = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2j = 0 + -3
2j = 0 + -3

Combine like terms: 0 + -3 = -3
2j = -3

Divide each side by '2'.
j = -1.5

Simplifying
j = -1.5
Solution
j = {0, -1.5}