(-4+8i)(-1+i)=

Solution for (-4+8i)(-1+i)= equation:

Simplifying
(-4 + 8i)(-1 + i) = 0

Multiply (-4 + 8i) * (-1 + i)
(-4(-1 + i) + 8i * (-1 + i)) = 0
((-1 * -4 + i * -4) + 8i * (-1 + i)) = 0
((4 + -4i) + 8i * (-1 + i)) = 0
(4 + -4i + (-1 * 8i + i * 8i)) = 0
(4 + -4i + (-8i + 8i2)) = 0

Combine like terms: -4i + -8i = -12i
(4 + -12i + 8i2) = 0

Solving
4 + -12i + 8i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -3i + 2i2) = 0

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

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

Simplifying
1 + -2i = 0

Solving
1 + -2i = 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 + -2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2i = 0 + -1
-2i = 0 + -1

Combine like terms: 0 + -1 = -1
-2i = -1

Divide each side by '-2'.
i = 0.5

Simplifying
i = 0.5
Subproblem 2
Set the factor '(1 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

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

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

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

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

Simplifying
i = 1
Solution
i = {0.5, 1}