(i)(7i)(-1-8i)=

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Solution for (i)(7i)(-1-8i)= equation: 


Simplifying
(i)(7i)(-1 + -8i) = 0

Remove parenthesis around (7i)
i * 7i(-1 + -8i) = 0

Reorder the terms for easier multiplication:
7i * i(-1 + -8i) = 0

Multiply i * i
7i2(-1 + -8i) = 0
(-1 * 7i2 + -8i * 7i2) = 0
(-7i2 + -56i3) = 0

Solving
-7i2 + -56i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-7i2'.
-7i2(1 + 8i) = 0

Ignore the factor -7.

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 + 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, -0.125}

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