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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 = 1.142857143Solution
i = {0, 1.142857143}
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