(2j+2)(2j+5)=

Solution for (2j+2)(2j+5)= equation:

Simplifying
(2j + 2)(2j + 5) = 0

Reorder the terms:
(2 + 2j)(2j + 5) = 0

Reorder the terms:
(2 + 2j)(5 + 2j) = 0

Multiply (2 + 2j) * (5 + 2j)
(2(5 + 2j) + 2j * (5 + 2j)) = 0
((5 * 2 + 2j * 2) + 2j * (5 + 2j)) = 0
((10 + 4j) + 2j * (5 + 2j)) = 0
(10 + 4j + (5 * 2j + 2j * 2j)) = 0
(10 + 4j + (10j + 4j2)) = 0

Combine like terms: 4j + 10j = 14j
(10 + 14j + 4j2) = 0

Solving
10 + 14j + 4j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 7j + 2j2) = 0

Factor a trinomial.
2((5 + 2j)(1 + j)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + 2j)' equal to zero and attempt to solve:

Simplifying
5 + 2j = 0

Solving
5 + 2j = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2j = 0 + -5
2j = 0 + -5

Combine like terms: 0 + -5 = -5
2j = -5

Divide each side by '2'.
j = -2.5

Simplifying
j = -2.5
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 = {-2.5, -1}