8(-7i)(-3+3i)=0

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Solution for 8(-7i)(-3+3i)=0 equation: 


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

Remove parenthesis around (-7i)
8 * -7i(-3 + 3i) = 0

Multiply 8 * -7
-56i(-3 + 3i) = 0
(-3 * -56i + 3i * -56i) = 0
(168i + -168i2) = 0

Solving
168i + -168i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '168i'.
168i(1 + -1i) = 0

Ignore the factor 168.

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 '(1 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

Solving
1 + -1i = 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 + -1i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1i = 0 + -1
-1i = 0 + -1

Combine like terms: 0 + -1 = -1
-1i = -1

Divide each side by '-1'.
i = 1

Simplifying
i = 1
Solution
i = {0, 1}

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