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Simplifying (3i)(i)(1 + 5i) = 0 Remove parenthesis around (3i) 3i(i)(1 + 5i) = 0 Multiply i * i 3i2(1 + 5i) = 0 (1 * 3i2 + 5i * 3i2) = 0 (3i2 + 15i3) = 0 Solving 3i2 + 15i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3i2'. 3i2(1 + 5i) = 0 Ignore the factor 3.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 '(1 + 5i)' equal to zero and attempt to solve: Simplifying 1 + 5i = 0 Solving 1 + 5i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5i = 0 + -1 5i = 0 + -1 Combine like terms: 0 + -1 = -1 5i = -1 Divide each side by '5'. i = -0.2 Simplifying i = -0.2Solution
i = {0, -0.2}
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