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

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

Simplifying
2(-5 + j)(-5 + -1j) = 0

Multiply (-5 + j) * (-5 + -1j)
2(-5(-5 + -1j) + j(-5 + -1j)) = 0
2((-5 * -5 + -1j * -5) + j(-5 + -1j)) = 0
2((25 + 5j) + j(-5 + -1j)) = 0
2(25 + 5j + (-5 * j + -1j * j)) = 0
2(25 + 5j + (-5j + -1j2)) = 0

Combine like terms: 5j + -5j = 0
2(25 + 0 + -1j2) = 0
2(25 + -1j2) = 0
(25 * 2 + -1j2 * 2) = 0
(50 + -2j2) = 0

Solving
50 + -2j2 = 0

Solving for variable 'j'.

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

Add '-50' to each side of the equation.
50 + -50 + -2j2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -2j2 = 0 + -50
-2j2 = 0 + -50

Combine like terms: 0 + -50 = -50
-2j2 = -50

Divide each side by '-2'.
j2 = 25

Simplifying
j2 = 25

Take the square root of each side:
j = {-5, 5}