(-3i)(-8i)(8+5i)=

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Solution for (-3i)(-8i)(8+5i)= equation:


Simplifying
(-3i)(-8i)(8 + 5i) = 0

Remove parenthesis around (-3i)
-3i(-8i)(8 + 5i) = 0

Remove parenthesis around (-8i)
-3i * -8i(8 + 5i) = 0

Reorder the terms for easier multiplication:
-3 * -8i * i(8 + 5i) = 0

Multiply -3 * -8
24i * i(8 + 5i) = 0

Multiply i * i
24i2(8 + 5i) = 0
(8 * 24i2 + 5i * 24i2) = 0
(192i2 + 120i3) = 0

Solving
192i2 + 120i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '24i2'.
24i2(8 + 5i) = 0

Ignore the factor 24.

Subproblem 1

Set the factor 'i2' equal to zero and attempt to solve: Simplifying i2 = 0 Solving i2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i2 = 0 Take the square root of each side: i = {0}

Subproblem 2

Set the factor '(8 + 5i)' equal to zero and attempt to solve: Simplifying 8 + 5i = 0 Solving 8 + 5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5i = 0 + -8 5i = 0 + -8 Combine like terms: 0 + -8 = -8 5i = -8 Divide each side by '5'. i = -1.6 Simplifying i = -1.6

Solution

i = {0, -1.6}

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