2(-7i)(3+8i)=

Solution for 2(-7i)(3+8i)= equation:

Simplifying
2(-7i)(3 + 8i) = 0

Remove parenthesis around (-7i)
2 * -7i(3 + 8i) = 0

Multiply 2 * -7
-14i(3 + 8i) = 0
(3 * -14i + 8i * -14i) = 0
(-42i + -112i2) = 0

Solving
-42i + -112i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-14i'.
-14i(3 + 8i) = 0

Ignore the factor -14.
Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(3 + 8i)' equal to zero and attempt to solve:

Simplifying
3 + 8i = 0

Solving
3 + 8i = 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 + 8i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8i = 0 + -3
8i = 0 + -3

Combine like terms: 0 + -3 = -3
8i = -3

Divide each side by '8'.
i = -0.375

Simplifying
i = -0.375
Solution
i = {0, -0.375}