(-4i)(-3i)(-3+6i)=

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Solution for (-4i)(-3i)(-3+6i)= equation:


Simplifying
(-4i)(-3i)(-3 + 6i) = 0

Remove parenthesis around (-4i)
-4i(-3i)(-3 + 6i) = 0

Remove parenthesis around (-3i)
-4i * -3i(-3 + 6i) = 0

Reorder the terms for easier multiplication:
-4 * -3i * i(-3 + 6i) = 0

Multiply -4 * -3
12i * i(-3 + 6i) = 0

Multiply i * i
12i2(-3 + 6i) = 0
(-3 * 12i2 + 6i * 12i2) = 0
(-36i2 + 72i3) = 0

Solving
-36i2 + 72i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '36i2'.
36i2(-1 + 2i) = 0

Ignore the factor 36.

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 '(-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

Solution

i = {0, 0.5}

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