(3+4j)x(4-3j)=

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


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

Reorder the terms for easier multiplication:
x(3 + 4j)(4 + -3j) = 0

Multiply (3 + 4j) * (4 + -3j)
x(3(4 + -3j) + 4j * (4 + -3j)) = 0
x((4 * 3 + -3j * 3) + 4j * (4 + -3j)) = 0
x((12 + -9j) + 4j * (4 + -3j)) = 0
x(12 + -9j + (4 * 4j + -3j * 4j)) = 0
x(12 + -9j + (16j + -12j2)) = 0

Combine like terms: -9j + 16j = 7j
x(12 + 7j + -12j2) = 0
(12 * x + 7j * x + -12j2 * x) = 0

Reorder the terms:
(7jx + -12j2x + 12x) = 0
(7jx + -12j2x + 12x) = 0

Solving
7jx + -12j2x + 12x = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7j + -12j2 + 12) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-4j + -3)' equal to zero and attempt to solve:

Simplifying
-4j + -3 = 0

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

Simplifying
3j + -4 = 0

Reorder the terms:
-4 + 3j = 0

Solving
-4 + 3j = 0

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

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

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

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

Divide each side by '3'.
j = 1.333333333

Simplifying
j = 1.333333333
Solution
j = {-0.75, 1.333333333}

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