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Simplifying
(5 + 2j)(5 + -2j) = 0
Multiply (5 + 2j) * (5 + -2j)
(5(5 + -2j) + 2j * (5 + -2j)) = 0
((5 * 5 + -2j * 5) + 2j * (5 + -2j)) = 0
((25 + -10j) + 2j * (5 + -2j)) = 0
(25 + -10j + (5 * 2j + -2j * 2j)) = 0
(25 + -10j + (10j + -4j2)) = 0
Combine like terms: -10j + 10j = 0
(25 + 0 + -4j2) = 0
(25 + -4j2) = 0
Solving
25 + -4j2 = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -4j2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -4j2 = 0 + -25
-4j2 = 0 + -25
Combine like terms: 0 + -25 = -25
-4j2 = -25
Divide each side by '-4'.
j2 = 6.25
Simplifying
j2 = 6.25
Take the square root of each side:
j = {-2.5, 2.5}
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