(-7-6i)(7-8i)=

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Solution for (-7-6i)(7-8i)= equation: 


Simplifying
(-7 + -6i)(7 + -8i) = 0

Multiply (-7 + -6i) * (7 + -8i)
(-7(7 + -8i) + -6i * (7 + -8i)) = 0
((7 * -7 + -8i * -7) + -6i * (7 + -8i)) = 0
((-49 + 56i) + -6i * (7 + -8i)) = 0
(-49 + 56i + (7 * -6i + -8i * -6i)) = 0
(-49 + 56i + (-42i + 48i2)) = 0

Combine like terms: 56i + -42i = 14i
(-49 + 14i + 48i2) = 0

Solving
-49 + 14i + 48i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-7 + -6i)(7 + -8i) = 0


Subproblem 1
Set the factor '(-7 + -6i)' equal to zero and attempt to solve:

Simplifying
-7 + -6i = 0

Solving
-7 + -6i = 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 + -6i = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6i = 0 + 7
-6i = 0 + 7

Combine like terms: 0 + 7 = 7
-6i = 7

Divide each side by '-6'.
i = -1.166666667

Simplifying
i = -1.166666667

Subproblem 2
Set the factor '(7 + -8i)' equal to zero and attempt to solve:

Simplifying
7 + -8i = 0

Solving
7 + -8i = 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 + -8i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8i = 0 + -7
-8i = 0 + -7

Combine like terms: 0 + -7 = -7
-8i = -7

Divide each side by '-8'.
i = 0.875

Simplifying
i = 0.875
Solution
i = {-1.166666667, 0.875}

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