(j+9)(5j+7)=0

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Solution for (j+9)(5j+7)=0 equation: 


Simplifying
(j + 9)(5j + 7) = 0

Reorder the terms:
(9 + j)(5j + 7) = 0

Reorder the terms:
(9 + j)(7 + 5j) = 0

Multiply (9 + j) * (7 + 5j)
(9(7 + 5j) + j(7 + 5j)) = 0
((7 * 9 + 5j * 9) + j(7 + 5j)) = 0
((63 + 45j) + j(7 + 5j)) = 0
(63 + 45j + (7 * j + 5j * j)) = 0
(63 + 45j + (7j + 5j2)) = 0

Combine like terms: 45j + 7j = 52j
(63 + 52j + 5j2) = 0

Solving
63 + 52j + 5j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(9 + j)(7 + 5j) = 0


Subproblem 1
Set the factor '(9 + j)' equal to zero and attempt to solve:

Simplifying
9 + j = 0

Solving
9 + j = 0

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

Add '-9' to each side of the equation.
9 + -9 + j = 0 + -9

Combine like terms: 9 + -9 = 0
0 + j = 0 + -9
j = 0 + -9

Combine like terms: 0 + -9 = -9
j = -9

Simplifying
j = -9

Subproblem 2
Set the factor '(7 + 5j)' equal to zero and attempt to solve:

Simplifying
7 + 5j = 0

Solving
7 + 5j = 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 + 5j = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5j = 0 + -7
5j = 0 + -7

Combine like terms: 0 + -7 = -7
5j = -7

Divide each side by '5'.
j = -1.4

Simplifying
j = -1.4
Solution
j = {-9, -1.4}

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