(7-4i)(9-8i)=

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Solution for (7-4i)(9-8i)= equation: 


Simplifying
(7 + -4i)(9 + -8i) = 0

Multiply (7 + -4i) * (9 + -8i)
(7(9 + -8i) + -4i * (9 + -8i)) = 0
((9 * 7 + -8i * 7) + -4i * (9 + -8i)) = 0
((63 + -56i) + -4i * (9 + -8i)) = 0
(63 + -56i + (9 * -4i + -8i * -4i)) = 0
(63 + -56i + (-36i + 32i2)) = 0

Combine like terms: -56i + -36i = -92i
(63 + -92i + 32i2) = 0

Solving
63 + -92i + 32i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(9 + -8i)(7 + -4i) = 0


Subproblem 1
Set the factor '(9 + -8i)' equal to zero and attempt to solve:

Simplifying
9 + -8i = 0

Solving
9 + -8i = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8i = 0 + -9
-8i = 0 + -9

Combine like terms: 0 + -9 = -9
-8i = -9

Divide each side by '-8'.
i = 1.125

Simplifying
i = 1.125

Subproblem 2
Set the factor '(7 + -4i)' equal to zero and attempt to solve:

Simplifying
7 + -4i = 0

Solving
7 + -4i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4i = 0 + -7
-4i = 0 + -7

Combine like terms: 0 + -7 = -7
-4i = -7

Divide each side by '-4'.
i = 1.75

Simplifying
i = 1.75
Solution
i = {1.125, 1.75}

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