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

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


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

Multiply (6 + -8i) * (8 + 7i)
(6(8 + 7i) + -8i * (8 + 7i)) = 0
((8 * 6 + 7i * 6) + -8i * (8 + 7i)) = 0
((48 + 42i) + -8i * (8 + 7i)) = 0
(48 + 42i + (8 * -8i + 7i * -8i)) = 0
(48 + 42i + (-64i + -56i2)) = 0

Combine like terms: 42i + -64i = -22i
(48 + -22i + -56i2) = 0

Solving
48 + -22i + -56i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -11i + -28i2) = 0

Factor a trinomial.
2((3 + -4i)(8 + 7i)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -4i)' equal to zero and attempt to solve:

Simplifying
3 + -4i = 0

Solving
3 + -4i = 0

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

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

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

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

Divide each side by '-4'.
i = 0.75

Simplifying
i = 0.75

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

Simplifying
8 + 7i = 0

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

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

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

Divide each side by '7'.
i = -1.142857143

Simplifying
i = -1.142857143
Solution
i = {0.75, -1.142857143}

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