(8-3i)(17-7i)=0

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Solution for (8-3i)(17-7i)=0 equation: 


Simplifying
(8 + -3i)(17 + -7i) = 0

Multiply (8 + -3i) * (17 + -7i)
(8(17 + -7i) + -3i * (17 + -7i)) = 0
((17 * 8 + -7i * 8) + -3i * (17 + -7i)) = 0
((136 + -56i) + -3i * (17 + -7i)) = 0
(136 + -56i + (17 * -3i + -7i * -3i)) = 0
(136 + -56i + (-51i + 21i2)) = 0

Combine like terms: -56i + -51i = -107i
(136 + -107i + 21i2) = 0

Solving
136 + -107i + 21i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(17 + -7i)(8 + -3i) = 0


Subproblem 1
Set the factor '(17 + -7i)' equal to zero and attempt to solve:

Simplifying
17 + -7i = 0

Solving
17 + -7i = 0

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

Add '-17' to each side of the equation.
17 + -17 + -7i = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -7i = 0 + -17
-7i = 0 + -17

Combine like terms: 0 + -17 = -17
-7i = -17

Divide each side by '-7'.
i = 2.428571429

Simplifying
i = 2.428571429

Subproblem 2
Set the factor '(8 + -3i)' equal to zero and attempt to solve:

Simplifying
8 + -3i = 0

Solving
8 + -3i = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3i = 0 + -8
-3i = 0 + -8

Combine like terms: 0 + -8 = -8
-3i = -8

Divide each side by '-3'.
i = 2.666666667

Simplifying
i = 2.666666667
Solution
i = {2.428571429, 2.666666667}

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