7i*3i(-8-6i)=

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Solution for 7i*3i(-8-6i)= equation: 


Simplifying
7i * 3i(-8 + -6i) = 0

Reorder the terms for easier multiplication:
7 * 3i * i(-8 + -6i) = 0

Multiply 7 * 3
21i * i(-8 + -6i) = 0

Multiply i * i
21i2(-8 + -6i) = 0
(-8 * 21i2 + -6i * 21i2) = 0
(-168i2 + -126i3) = 0

Solving
-168i2 + -126i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-42i2'.
-42i2(4 + 3i) = 0

Ignore the factor -42.

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 '(4 + 3i)' equal to zero and attempt to solve:

Simplifying
4 + 3i = 0

Solving
4 + 3i = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3i = 0 + -4
3i = 0 + -4

Combine like terms: 0 + -4 = -4
3i = -4

Divide each side by '3'.
i = -1.333333333

Simplifying
i = -1.333333333
Solution
i = {0, -1.333333333}

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