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Simplifying (-7i)(i)(5 + 3i) = 0 Remove parenthesis around (-7i) -7i(i)(5 + 3i) = 0 Multiply i * i -7i2(5 + 3i) = 0 (5 * -7i2 + 3i * -7i2) = 0 (-35i2 + -21i3) = 0 Solving -35i2 + -21i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-7i2'. -7i2(5 + 3i) = 0 Ignore the factor -7.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 '(5 + 3i)' equal to zero and attempt to solve: Simplifying 5 + 3i = 0 Solving 5 + 3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3i = 0 + -5 3i = 0 + -5 Combine like terms: 0 + -5 = -5 3i = -5 Divide each side by '3'. i = -1.666666667 Simplifying i = -1.666666667Solution
i = {0, -1.666666667}
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