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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 = 0Subproblem 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 = 8Solution
i = {0, 8}
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