0=-15i(i-8)

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Solution for 0=-15i(i-8) equation:


Simplifying
0 = -15i(i + -8)

Reorder the terms:
0 = -15i(-8 + i)
0 = (-8 * -15i + i * -15i)
0 = (120i + -15i2)

Solving
0 = 120i + -15i2

Solving for variable 'i'.
Remove the zero:
-120i + 15i2 = 120i + -15i2 + -120i + 15i2

Reorder the terms:
-120i + 15i2 = 120i + -120i + -15i2 + 15i2

Combine like terms: 120i + -120i = 0
-120i + 15i2 = 0 + -15i2 + 15i2
-120i + 15i2 = -15i2 + 15i2

Combine like terms: -15i2 + 15i2 = 0
-120i + 15i2 = 0

Factor out the Greatest Common Factor (GCF), '15i'.
15i(-8 + i) = 0

Ignore the factor 15.

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 '(-8 + i)' equal to zero and attempt to solve: Simplifying -8 + i = 0 Solving -8 + i = 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 + i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + i = 0 + 8 i = 0 + 8 Combine like terms: 0 + 8 = 8 i = 8 Simplifying i = 8

Solution

i = {0, 8}

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