(9+4i)(8+4i)=

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Solution for (9+4i)(8+4i)= equation: 


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

Multiply (9 + 4i) * (8 + 4i)
(9(8 + 4i) + 4i * (8 + 4i)) = 0
((8 * 9 + 4i * 9) + 4i * (8 + 4i)) = 0
((72 + 36i) + 4i * (8 + 4i)) = 0
(72 + 36i + (8 * 4i + 4i * 4i)) = 0
(72 + 36i + (32i + 16i2)) = 0

Combine like terms: 36i + 32i = 68i
(72 + 68i + 16i2) = 0

Solving
72 + 68i + 16i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + 17i + 4i2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + 4i)' equal to zero and attempt to solve:

Simplifying
9 + 4i = 0

Solving
9 + 4i = 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 + 4i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4i = 0 + -9
4i = 0 + -9

Combine like terms: 0 + -9 = -9
4i = -9

Divide each side by '4'.
i = -2.25

Simplifying
i = -2.25

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

Simplifying
2 + i = 0

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

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

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

Simplifying
i = -2
Solution
i = {-2.25, -2}

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