5(-i)(-4+6i)=0

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Solution for 5(-i)(-4+6i)=0 equation: 


Simplifying
5(-1i)(-4 + 6i) = 0

Remove parenthesis around (-1i)
5 * -1i(-4 + 6i) = 0

Multiply 5 * -1
-5i(-4 + 6i) = 0
(-4 * -5i + 6i * -5i) = 0
(20i + -30i2) = 0

Solving
20i + -30i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '10i'.
10i(2 + -3i) = 0

Ignore the factor 10.

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 '(2 + -3i)' equal to zero and attempt to solve:

Simplifying
2 + -3i = 0

Solving
2 + -3i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667
Solution
i = {0, 0.6666666667}

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