(8-2i)(8-7i)=

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Solution for (8-2i)(8-7i)= equation: 


Simplifying
(8 + -2i)(8 + -7i) = 0

Multiply (8 + -2i) * (8 + -7i)
(8(8 + -7i) + -2i * (8 + -7i)) = 0
((8 * 8 + -7i * 8) + -2i * (8 + -7i)) = 0
((64 + -56i) + -2i * (8 + -7i)) = 0
(64 + -56i + (8 * -2i + -7i * -2i)) = 0
(64 + -56i + (-16i + 14i2)) = 0

Combine like terms: -56i + -16i = -72i
(64 + -72i + 14i2) = 0

Solving
64 + -72i + 14i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + -36i + 7i2) = 0

Factor a trinomial.
2((8 + -7i)(4 + -1i)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1i)' equal to zero and attempt to solve:

Simplifying
4 + -1i = 0

Solving
4 + -1i = 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 + -1i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1i = 0 + -4
-1i = 0 + -4

Combine like terms: 0 + -4 = -4
-1i = -4

Divide each side by '-1'.
i = 4

Simplifying
i = 4
Solution
i = {1.142857143, 4}

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