4i(-2-7i)=0

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Solution for 4i(-2-7i)=0 equation: 


Simplifying
4i(-2 + -7i) = 0
(-2 * 4i + -7i * 4i) = 0
(-8i + -28i2) = 0

Solving
-8i + -28i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-4i'.
-4i(2 + 7i) = 0

Ignore the factor -4.

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

Simplifying
2 + 7i = 0

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

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

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

Divide each side by '7'.
i = -0.2857142857

Simplifying
i = -0.2857142857
Solution
i = {0, -0.2857142857}

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