(-6i)(-5i)(-8+7i)=

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Solution for (-6i)(-5i)(-8+7i)= equation:


Simplifying
(-6i)(-5i)(-8 + 7i) = 0

Remove parenthesis around (-6i)
-6i(-5i)(-8 + 7i) = 0

Remove parenthesis around (-5i)
-6i * -5i(-8 + 7i) = 0

Reorder the terms for easier multiplication:
-6 * -5i * i(-8 + 7i) = 0

Multiply -6 * -5
30i * i(-8 + 7i) = 0

Multiply i * i
30i2(-8 + 7i) = 0
(-8 * 30i2 + 7i * 30i2) = 0
(-240i2 + 210i3) = 0

Solving
-240i2 + 210i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '30i2'.
30i2(-8 + 7i) = 0

Ignore the factor 30.

Subproblem 1

Set the factor 'i2' equal to zero and attempt to solve: Simplifying i2 = 0 Solving i2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i2 = 0 Take the square root of each side: i = {0}

Subproblem 2

Set the factor '(-8 + 7i)' equal to zero and attempt to solve: Simplifying -8 + 7i = 0 Solving -8 + 7i = 0 Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7i = 0 + 8 7i = 0 + 8 Combine like terms: 0 + 8 = 8 7i = 8 Divide each side by '7'. i = 1.142857143 Simplifying i = 1.142857143

Solution

i = {0, 1.142857143}

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