(j-2)j=48

Solution for (j-2)j=48 equation:

Simplifying
(j + -2) * j = 48

Reorder the terms:
(-2 + j) * j = 48

Reorder the terms for easier multiplication:
j(-2 + j) = 48
(-2 * j + j * j) = 48
(-2j + j2) = 48

Solving
-2j + j2 = 48

Solving for variable 'j'.

Reorder the terms:
-48 + -2j + j2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -2j + j2 = 0

Factor a trinomial.
(-6 + -1j)(8 + -1j) = 0

Subproblem 1
Set the factor '(-6 + -1j)' equal to zero and attempt to solve:

Simplifying
-6 + -1j = 0

Solving
-6 + -1j = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1j = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1j = 0 + 6
-1j = 0 + 6

Combine like terms: 0 + 6 = 6
-1j = 6

Divide each side by '-1'.
j = -6

Simplifying
j = -6
Subproblem 2
Set the factor '(8 + -1j)' equal to zero and attempt to solve:

Simplifying
8 + -1j = 0

Solving
8 + -1j = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1j = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1j = 0 + -8
-1j = 0 + -8

Combine like terms: 0 + -8 = -8
-1j = -8

Divide each side by '-1'.
j = 8

Simplifying
j = 8
Solution
j = {-6, 8}