(-5j-7)(5j-2)=0

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Solution for (-5j-7)(5j-2)=0 equation: 


Simplifying
(-5j + -7)(5j + -2) = 0

Reorder the terms:
(-7 + -5j)(5j + -2) = 0

Reorder the terms:
(-7 + -5j)(-2 + 5j) = 0

Multiply (-7 + -5j) * (-2 + 5j)
(-7(-2 + 5j) + -5j * (-2 + 5j)) = 0
((-2 * -7 + 5j * -7) + -5j * (-2 + 5j)) = 0
((14 + -35j) + -5j * (-2 + 5j)) = 0
(14 + -35j + (-2 * -5j + 5j * -5j)) = 0
(14 + -35j + (10j + -25j2)) = 0

Combine like terms: -35j + 10j = -25j
(14 + -25j + -25j2) = 0

Solving
14 + -25j + -25j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(2 + -5j)(7 + 5j) = 0


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

Simplifying
2 + -5j = 0

Solving
2 + -5j = 0

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

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

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

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

Divide each side by '-5'.
j = 0.4

Simplifying
j = 0.4

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 = {0.4, -1.4}

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