(-2+16i)(3+7i)=

Solution for (-2+16i)(3+7i)= equation:

Simplifying
(-2 + 16i)(3 + 7i) = 0

Multiply (-2 + 16i) * (3 + 7i)
(-2(3 + 7i) + 16i * (3 + 7i)) = 0
((3 * -2 + 7i * -2) + 16i * (3 + 7i)) = 0
((-6 + -14i) + 16i * (3 + 7i)) = 0
(-6 + -14i + (3 * 16i + 7i * 16i)) = 0
(-6 + -14i + (48i + 112i2)) = 0

Combine like terms: -14i + 48i = 34i
(-6 + 34i + 112i2) = 0

Solving
-6 + 34i + 112i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 17i + 56i2) = 0

Factor a trinomial.
2((-3 + -7i)(1 + -8i)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -7i)' equal to zero and attempt to solve:

Simplifying
-3 + -7i = 0

Solving
-3 + -7i = 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 + -7i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7i = 0 + 3
-7i = 0 + 3

Combine like terms: 0 + 3 = 3
-7i = 3

Divide each side by '-7'.
i = -0.4285714286

Simplifying
i = -0.4285714286
Subproblem 2
Set the factor '(1 + -8i)' equal to zero and attempt to solve:

Simplifying
1 + -8i = 0

Solving
1 + -8i = 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 + -8i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8i = 0 + -1
-8i = 0 + -1

Combine like terms: 0 + -1 = -1
-8i = -1

Divide each side by '-8'.
i = 0.125

Simplifying
i = 0.125
Solution
i = {-0.4285714286, 0.125}