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

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


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

Multiply (5 + -4i) * (4 + 3i)
(5(4 + 3i) + -4i * (4 + 3i)) = 0
((4 * 5 + 3i * 5) + -4i * (4 + 3i)) = 0
((20 + 15i) + -4i * (4 + 3i)) = 0
(20 + 15i + (4 * -4i + 3i * -4i)) = 0
(20 + 15i + (-16i + -12i2)) = 0

Combine like terms: 15i + -16i = -1i
(20 + -1i + -12i2) = 0

Solving
20 + -1i + -12i2 = 0

Solving for variable 'i'.

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


Subproblem 1
Set the factor '(5 + -4i)' equal to zero and attempt to solve:

Simplifying
5 + -4i = 0

Solving
5 + -4i = 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 + -4i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4i = 0 + -5
-4i = 0 + -5

Combine like terms: 0 + -5 = -5
-4i = -5

Divide each side by '-4'.
i = 1.25

Simplifying
i = 1.25

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 = {1.25, -1.333333333}

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