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Simplifying (-2i)(-7i)(-1 + -6i) = 0 Remove parenthesis around (-2i) -2i(-7i)(-1 + -6i) = 0 Remove parenthesis around (-7i) -2i * -7i(-1 + -6i) = 0 Reorder the terms for easier multiplication: -2 * -7i * i(-1 + -6i) = 0 Multiply -2 * -7 14i * i(-1 + -6i) = 0 Multiply i * i 14i2(-1 + -6i) = 0 (-1 * 14i2 + -6i * 14i2) = 0 (-14i2 + -84i3) = 0 Solving -14i2 + -84i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-14i2'. -14i2(1 + 6i) = 0 Ignore the factor -14.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 + 6i)' equal to zero and attempt to solve: Simplifying 1 + 6i = 0 Solving 1 + 6i = 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 + 6i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6i = 0 + -1 6i = 0 + -1 Combine like terms: 0 + -1 = -1 6i = -1 Divide each side by '6'. i = -0.1666666667 Simplifying i = -0.1666666667Solution
i = {0, -0.1666666667}
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