(-6i)(5+10i)=

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Solution for (-6i)(5+10i)= equation:


Simplifying
(-6i)(5 + 10i) = 0

Remove parenthesis around (-6i)
-6i(5 + 10i) = 0
(5 * -6i + 10i * -6i) = 0
(-30i + -60i2) = 0

Solving
-30i + -60i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-30i'.
-30i(1 + 2i) = 0

Ignore the factor -30.

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 + 2i)' equal to zero and attempt to solve: Simplifying 1 + 2i = 0 Solving 1 + 2i = 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 + 2i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2i = 0 + -1 2i = 0 + -1 Combine like terms: 0 + -1 = -1 2i = -1 Divide each side by '2'. i = -0.5 Simplifying i = -0.5

Solution

i = {0, -0.5}

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