(5-6i)(4-3i)=

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Solution for (5-6i)(4-3i)= equation: 


Simplifying
(5 + -6i)(4 + -3i) = 0

Multiply (5 + -6i) * (4 + -3i)
(5(4 + -3i) + -6i * (4 + -3i)) = 0
((4 * 5 + -3i * 5) + -6i * (4 + -3i)) = 0
((20 + -15i) + -6i * (4 + -3i)) = 0
(20 + -15i + (4 * -6i + -3i * -6i)) = 0
(20 + -15i + (-24i + 18i2)) = 0

Combine like terms: -15i + -24i = -39i
(20 + -39i + 18i2) = 0

Solving
20 + -39i + 18i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(5 + -6i)(4 + -3i) = 0


Subproblem 1
Set the factor '(5 + -6i)' equal to zero and attempt to solve:

Simplifying
5 + -6i = 0

Solving
5 + -6i = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6i = 0 + -5
-6i = 0 + -5

Combine like terms: 0 + -5 = -5
-6i = -5

Divide each side by '-6'.
i = 0.8333333333

Simplifying
i = 0.8333333333

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 = {0.8333333333, 1.333333333}

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