Question

2(2-j) = 4(j+10)

Answer 1

Simplifying
2(2 + -1j) = 4(j + 10)
(2 * 2 + -1j * 2) = 4(j + 10)
(4 + -2j) = 4(j + 10)

Reorder the terms:
4 + -2j = 4(10 + j)
4 + -2j = (10 * 4 + j * 4)
4 + -2j = (40 + 4j)

Solving
4 + -2j = 40 + 4j

Solving for variable 'j'.

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

Add '-4j' to each side of the equation.
4 + -2j + -4j = 40 + 4j + -4j

Combine like terms: -2j + -4j = -6j
4 + -6j = 40 + 4j + -4j

Combine like terms: 4j + -4j = 0
4 + -6j = 40 + 0
4 + -6j = 40

Add '-4' to each side of the equation.
4 + -4 + -6j = 40 + -4

Combine like terms: 4 + -4 = 0
0 + -6j = 40 + -4
-6j = 40 + -4

Combine like terms: 40 + -4 = 36
-6j = 36

Divide each side by '-6'.
j = -6

Simplifying
j = -6