(8-6i)(4-7i)=

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Solution for (8-6i)(4-7i)= equation: 


Simplifying
(8 + -6i)(4 + -7i) = 0

Multiply (8 + -6i) * (4 + -7i)
(8(4 + -7i) + -6i * (4 + -7i)) = 0
((4 * 8 + -7i * 8) + -6i * (4 + -7i)) = 0
((32 + -56i) + -6i * (4 + -7i)) = 0
(32 + -56i + (4 * -6i + -7i * -6i)) = 0
(32 + -56i + (-24i + 42i2)) = 0

Combine like terms: -56i + -24i = -80i
(32 + -80i + 42i2) = 0

Solving
32 + -80i + 42i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -40i + 21i2) = 0

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

Ignore the factor 2.

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

Simplifying
4 + -7i = 0

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

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

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

Divide each side by '-7'.
i = 0.5714285714

Simplifying
i = 0.5714285714

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 = {0.5714285714, 1.333333333}

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