(9+i)(8-12i)=

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Solution for (9+i)(8-12i)= equation: 


Simplifying
(9 + i)(8 + -12i) = 0

Multiply (9 + i) * (8 + -12i)
(9(8 + -12i) + i(8 + -12i)) = 0
((8 * 9 + -12i * 9) + i(8 + -12i)) = 0
((72 + -108i) + i(8 + -12i)) = 0
(72 + -108i + (8 * i + -12i * i)) = 0
(72 + -108i + (8i + -12i2)) = 0

Combine like terms: -108i + 8i = -100i
(72 + -100i + -12i2) = 0

Solving
72 + -100i + -12i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + -25i + -3i2) = 0

Factor a trinomial.
4((2 + -3i)(9 + i)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + -3i)' equal to zero and attempt to solve:

Simplifying
2 + -3i = 0

Solving
2 + -3i = 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 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667

Subproblem 2
Set the factor '(9 + i)' equal to zero and attempt to solve:

Simplifying
9 + i = 0

Solving
9 + i = 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 + i = 0 + -9

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

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

Simplifying
i = -9
Solution
i = {0.6666666667, -9}

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