(3-i)(13i)=

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Solution for (3-i)(13i)= equation:


Simplifying
(3 + -1i)(13i) = 0

Remove parenthesis around (13i)
(3 + -1i) * 13i = 0

Reorder the terms for easier multiplication:
13i(3 + -1i) = 0
(3 * 13i + -1i * 13i) = 0
(39i + -13i2) = 0

Solving
39i + -13i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '13i'.
13i(3 + -1i) = 0

Ignore the factor 13.

Subproblem 1

Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0

Subproblem 2

Set the factor '(3 + -1i)' equal to zero and attempt to solve: Simplifying 3 + -1i = 0 Solving 3 + -1i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1i = 0 + -3 -1i = 0 + -3 Combine like terms: 0 + -3 = -3 -1i = -3 Divide each side by '-1'. i = 3 Simplifying i = 3

Solution

i = {0, 3}

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