(4j+3)(5-2j)=

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Solution for (4j+3)(5-2j)= equation:


Simplifying
(4j + 3)(5 + -2j) = 0

Reorder the terms:
(3 + 4j)(5 + -2j) = 0

Multiply (3 + 4j) * (5 + -2j)
(3(5 + -2j) + 4j * (5 + -2j)) = 0
((5 * 3 + -2j * 3) + 4j * (5 + -2j)) = 0
((15 + -6j) + 4j * (5 + -2j)) = 0
(15 + -6j + (5 * 4j + -2j * 4j)) = 0
(15 + -6j + (20j + -8j2)) = 0

Combine like terms: -6j + 20j = 14j
(15 + 14j + -8j2) = 0

Solving
15 + 14j + -8j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(5 + -2j)(3 + 4j) = 0

Subproblem 1

Set the factor '(5 + -2j)' equal to zero and attempt to solve: Simplifying 5 + -2j = 0 Solving 5 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2j = 0 + -5 -2j = 0 + -5 Combine like terms: 0 + -5 = -5 -2j = -5 Divide each side by '-2'. j = 2.5 Simplifying j = 2.5

Subproblem 2

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

Solution

j = {2.5, -0.75}

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