(8i-5)(7+4i)=

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Solution for (8i-5)(7+4i)= equation: 


Simplifying
(8i + -5)(7 + 4i) = 0

Reorder the terms:
(-5 + 8i)(7 + 4i) = 0

Multiply (-5 + 8i) * (7 + 4i)
(-5(7 + 4i) + 8i * (7 + 4i)) = 0
((7 * -5 + 4i * -5) + 8i * (7 + 4i)) = 0
((-35 + -20i) + 8i * (7 + 4i)) = 0
(-35 + -20i + (7 * 8i + 4i * 8i)) = 0
(-35 + -20i + (56i + 32i2)) = 0

Combine like terms: -20i + 56i = 36i
(-35 + 36i + 32i2) = 0

Solving
-35 + 36i + 32i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-7 + -4i)(5 + -8i) = 0


Subproblem 1
Set the factor '(-7 + -4i)' equal to zero and attempt to solve:

Simplifying
-7 + -4i = 0

Solving
-7 + -4i = 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 + -4i = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4i = 0 + 7
-4i = 0 + 7

Combine like terms: 0 + 7 = 7
-4i = 7

Divide each side by '-4'.
i = -1.75

Simplifying
i = -1.75

Subproblem 2
Set the factor '(5 + -8i)' equal to zero and attempt to solve:

Simplifying
5 + -8i = 0

Solving
5 + -8i = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8i = 0 + -5
-8i = 0 + -5

Combine like terms: 0 + -5 = -5
-8i = -5

Divide each side by '-8'.
i = 0.625

Simplifying
i = 0.625
Solution
i = {-1.75, 0.625}

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