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

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


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

Multiply (4 + 3i) * (2 + -5i)
(4(2 + -5i) + 3i * (2 + -5i)) = 0
((2 * 4 + -5i * 4) + 3i * (2 + -5i)) = 0
((8 + -20i) + 3i * (2 + -5i)) = 0
(8 + -20i + (2 * 3i + -5i * 3i)) = 0
(8 + -20i + (6i + -15i2)) = 0

Combine like terms: -20i + 6i = -14i
(8 + -14i + -15i2) = 0

Solving
8 + -14i + -15i2 = 0

Solving for variable 'i'.

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

Subproblem 1

Set the factor '(2 + -5i)' equal to zero and attempt to solve: Simplifying 2 + -5i = 0 Solving 2 + -5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5i = 0 + -2 -5i = 0 + -2 Combine like terms: 0 + -2 = -2 -5i = -2 Divide each side by '-5'. i = 0.4 Simplifying i = 0.4

Subproblem 2

Set the factor '(4 + 3i)' equal to zero and attempt to solve: Simplifying 4 + 3i = 0 Solving 4 + 3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3i = 0 + -4 3i = 0 + -4 Combine like terms: 0 + -4 = -4 3i = -4 Divide each side by '3'. i = -1.333333333 Simplifying i = -1.333333333

Solution

i = {0.4, -1.333333333}

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