8i(7-4i)=0

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Solution for 8i(7-4i)=0 equation: 


Simplifying
8i(7 + -4i) = 0
(7 * 8i + -4i * 8i) = 0
(56i + -32i2) = 0

Solving
56i + -32i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '8i'.
8i(7 + -4i) = 0

Ignore the factor 8.

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 '(7 + -4i)' equal to zero and attempt to solve:

Simplifying
7 + -4i = 0

Solving
7 + -4i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4i = 0 + -7
-4i = 0 + -7

Combine like terms: 0 + -7 = -7
-4i = -7

Divide each side by '-4'.
i = 1.75

Simplifying
i = 1.75
Solution
i = {0, 1.75}

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