(7+i)(16-9i)=0

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Solution for (7+i)(16-9i)=0 equation: 


Simplifying
(7 + i)(16 + -9i) = 0

Multiply (7 + i) * (16 + -9i)
(7(16 + -9i) + i(16 + -9i)) = 0
((16 * 7 + -9i * 7) + i(16 + -9i)) = 0
((112 + -63i) + i(16 + -9i)) = 0
(112 + -63i + (16 * i + -9i * i)) = 0
(112 + -63i + (16i + -9i2)) = 0

Combine like terms: -63i + 16i = -47i
(112 + -47i + -9i2) = 0

Solving
112 + -47i + -9i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(16 + -9i)(7 + i) = 0


Subproblem 1
Set the factor '(16 + -9i)' equal to zero and attempt to solve:

Simplifying
16 + -9i = 0

Solving
16 + -9i = 0

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

Add '-16' to each side of the equation.
16 + -16 + -9i = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9i = 0 + -16
-9i = 0 + -16

Combine like terms: 0 + -16 = -16
-9i = -16

Divide each side by '-9'.
i = 1.777777778

Simplifying
i = 1.777777778

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

Simplifying
7 + i = 0

Solving
7 + i = 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 + i = 0 + -7

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

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

Simplifying
i = -7
Solution
i = {1.777777778, -7}

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