(j-3)(4j-3)=

Solution for (j-3)(4j-3)= equation:

Simplifying
(j + -3)(4j + -3) = 0

Reorder the terms:
(-3 + j)(4j + -3) = 0

Reorder the terms:
(-3 + j)(-3 + 4j) = 0

Multiply (-3 + j) * (-3 + 4j)
(-3(-3 + 4j) + j(-3 + 4j)) = 0
((-3 * -3 + 4j * -3) + j(-3 + 4j)) = 0
((9 + -12j) + j(-3 + 4j)) = 0
(9 + -12j + (-3 * j + 4j * j)) = 0
(9 + -12j + (-3j + 4j2)) = 0

Combine like terms: -12j + -3j = -15j
(9 + -15j + 4j2) = 0

Solving
9 + -15j + 4j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(3 + -4j)(3 + -1j) = 0

Subproblem 1
Set the factor '(3 + -4j)' equal to zero and attempt to solve:

Simplifying
3 + -4j = 0

Solving
3 + -4j = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4j = 0 + -3
-4j = 0 + -3

Combine like terms: 0 + -3 = -3
-4j = -3

Divide each side by '-4'.
j = 0.75

Simplifying
j = 0.75
Subproblem 2
Set the factor '(3 + -1j)' equal to zero and attempt to solve:

Simplifying
3 + -1j = 0

Solving
3 + -1j = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1j = 0 + -3
-1j = 0 + -3

Combine like terms: 0 + -3 = -3
-1j = -3

Divide each side by '-1'.
j = 3

Simplifying
j = 3
Solution
j = {0.75, 3}