(-8+2i)(1-3i)=

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Solution for (-8+2i)(1-3i)= equation: 


Simplifying
(-8 + 2i)(1 + -3i) = 0

Multiply (-8 + 2i) * (1 + -3i)
(-8(1 + -3i) + 2i * (1 + -3i)) = 0
((1 * -8 + -3i * -8) + 2i * (1 + -3i)) = 0
((-8 + 24i) + 2i * (1 + -3i)) = 0
(-8 + 24i + (1 * 2i + -3i * 2i)) = 0
(-8 + 24i + (2i + -6i2)) = 0

Combine like terms: 24i + 2i = 26i
(-8 + 26i + -6i2) = 0

Solving
-8 + 26i + -6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 13i + -3i2) = 0

Factor a trinomial.
2((-4 + i)(1 + -3i)) = 0

Ignore the factor 2.

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

Simplifying
-4 + i = 0

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

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

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

Simplifying
i = 4

Subproblem 2
Set the factor '(1 + -3i)' equal to zero and attempt to solve:

Simplifying
1 + -3i = 0

Solving
1 + -3i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3i = 0 + -1
-3i = 0 + -1

Combine like terms: 0 + -1 = -1
-3i = -1

Divide each side by '-3'.
i = 0.3333333333

Simplifying
i = 0.3333333333
Solution
i = {4, 0.3333333333}

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