-5i(-4-7i)=

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Solution for -5i(-4-7i)= equation: 


Simplifying
-5i(-4 + -7i) = 0
(-4 * -5i + -7i * -5i) = 0
(20i + 35i2) = 0

Solving
20i + 35i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '5i'.
5i(4 + 7i) = 0

Ignore the factor 5.

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

Simplifying
4 + 7i = 0

Solving
4 + 7i = 0

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

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

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

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

Divide each side by '7'.
i = -0.5714285714

Simplifying
i = -0.5714285714
Solution
i = {0, -0.5714285714}

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