(8+6i)(8-5i)=

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Solution for (8+6i)(8-5i)= equation: 


Simplifying
(8 + 6i)(8 + -5i) = 0

Multiply (8 + 6i) * (8 + -5i)
(8(8 + -5i) + 6i * (8 + -5i)) = 0
((8 * 8 + -5i * 8) + 6i * (8 + -5i)) = 0
((64 + -40i) + 6i * (8 + -5i)) = 0
(64 + -40i + (8 * 6i + -5i * 6i)) = 0
(64 + -40i + (48i + -30i2)) = 0

Combine like terms: -40i + 48i = 8i
(64 + 8i + -30i2) = 0

Solving
64 + 8i + -30i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 4i + -15i2) = 0

Factor a trinomial.
2((8 + -5i)(4 + 3i)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -5i)' equal to zero and attempt to solve:

Simplifying
8 + -5i = 0

Solving
8 + -5i = 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 + -5i = 0 + -8

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

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

Divide each side by '-5'.
i = 1.6

Simplifying
i = 1.6

Subproblem 2
Set the factor '(4 + 3i)' equal to zero and attempt to solve:

Simplifying
4 + 3i = 0

Solving
4 + 3i = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3i = 0 + -4
3i = 0 + -4

Combine like terms: 0 + -4 = -4
3i = -4

Divide each side by '3'.
i = -1.333333333

Simplifying
i = -1.333333333
Solution
i = {1.6, -1.333333333}

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