(7+9i)(-1-5i)=

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Solution for (7+9i)(-1-5i)= equation: 


Simplifying
(7 + 9i)(-1 + -5i) = 0

Multiply (7 + 9i) * (-1 + -5i)
(7(-1 + -5i) + 9i * (-1 + -5i)) = 0
((-1 * 7 + -5i * 7) + 9i * (-1 + -5i)) = 0
((-7 + -35i) + 9i * (-1 + -5i)) = 0
(-7 + -35i + (-1 * 9i + -5i * 9i)) = 0
(-7 + -35i + (-9i + -45i2)) = 0

Combine like terms: -35i + -9i = -44i
(-7 + -44i + -45i2) = 0

Solving
-7 + -44i + -45i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(7 + 44i + 45i2) = 0

Factor a trinomial.
-1((7 + 9i)(1 + 5i)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + 9i)' equal to zero and attempt to solve:

Simplifying
7 + 9i = 0

Solving
7 + 9i = 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 + 9i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9i = 0 + -7
9i = 0 + -7

Combine like terms: 0 + -7 = -7
9i = -7

Divide each side by '9'.
i = -0.7777777778

Simplifying
i = -0.7777777778

Subproblem 2
Set the factor '(1 + 5i)' equal to zero and attempt to solve:

Simplifying
1 + 5i = 0

Solving
1 + 5i = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5i = 0 + -1
5i = 0 + -1

Combine like terms: 0 + -1 = -1
5i = -1

Divide each side by '5'.
i = -0.2

Simplifying
i = -0.2
Solution
i = {-0.7777777778, -0.2}

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