-8i(2i-7)=0

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Solution for -8i(2i-7)=0 equation: 


Simplifying
-8i(2i + -7) = 0

Reorder the terms:
-8i(-7 + 2i) = 0
(-7 * -8i + 2i * -8i) = 0
(56i + -16i2) = 0

Solving
56i + -16i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '8i'.
8i(7 + -2i) = 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 + -2i)' equal to zero and attempt to solve:

Simplifying
7 + -2i = 0

Solving
7 + -2i = 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 + -2i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2i = 0 + -7
-2i = 0 + -7

Combine like terms: 0 + -7 = -7
-2i = -7

Divide each side by '-2'.
i = 3.5

Simplifying
i = 3.5
Solution
i = {0, 3.5}

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