3(j+14)(j+1)=0

Solution for 3(j+14)(j+1)=0 equation:

Simplifying
3(j + 14)(j + 1) = 0

Reorder the terms:
3(14 + j)(j + 1) = 0

Reorder the terms:
3(14 + j)(1 + j) = 0

Multiply (14 + j) * (1 + j)
3(14(1 + j) + j(1 + j)) = 0
3((1 * 14 + j * 14) + j(1 + j)) = 0
3((14 + 14j) + j(1 + j)) = 0
3(14 + 14j + (1 * j + j * j)) = 0
3(14 + 14j + (1j + j2)) = 0

Combine like terms: 14j + 1j = 15j
3(14 + 15j + j2) = 0
(14 * 3 + 15j * 3 + j2 * 3) = 0
(42 + 45j + 3j2) = 0

Solving
42 + 45j + 3j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '3'.
3(14 + 15j + j2) = 0

Factor a trinomial.
3((14 + j)(1 + j)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(14 + j)' equal to zero and attempt to solve:

Simplifying
14 + j = 0

Solving
14 + j = 0

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

Add '-14' to each side of the equation.
14 + -14 + j = 0 + -14

Combine like terms: 14 + -14 = 0
0 + j = 0 + -14
j = 0 + -14

Combine like terms: 0 + -14 = -14
j = -14

Simplifying
j = -14
Subproblem 2
Set the factor '(1 + j)' equal to zero and attempt to solve:

Simplifying
1 + j = 0

Solving
1 + j = 0

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

Add '-1' to each side of the equation.
1 + -1 + j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + j = 0 + -1
j = 0 + -1

Combine like terms: 0 + -1 = -1
j = -1

Simplifying
j = -1
Solution
j = {-14, -1}