(8+i)(7+5i)=0

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Solution for (8+i)(7+5i)=0 equation: 


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

Multiply (8 + i) * (7 + 5i)
(8(7 + 5i) + i(7 + 5i)) = 0
((7 * 8 + 5i * 8) + i(7 + 5i)) = 0
((56 + 40i) + i(7 + 5i)) = 0
(56 + 40i + (7 * i + 5i * i)) = 0
(56 + 40i + (7i + 5i2)) = 0

Combine like terms: 40i + 7i = 47i
(56 + 47i + 5i2) = 0

Solving
56 + 47i + 5i2 = 0

Solving for variable 'i'.

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


Subproblem 1
Set the factor '(8 + i)' equal to zero and attempt to solve:

Simplifying
8 + i = 0

Solving
8 + i = 0

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

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

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

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

Simplifying
i = -8

Subproblem 2
Set the factor '(7 + 5i)' equal to zero and attempt to solve:

Simplifying
7 + 5i = 0

Solving
7 + 5i = 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 + 5i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5i = 0 + -7
5i = 0 + -7

Combine like terms: 0 + -7 = -7
5i = -7

Divide each side by '5'.
i = -1.4

Simplifying
i = -1.4
Solution
i = {-8, -1.4}

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