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Simplifying (-6i)(-2i) + (7i)(5 + -1i) = 0 Remove parenthesis around (-6i) -6i(-2i) + (7i)(5 + -1i) = 0 Remove parenthesis around (-2i) -6i * -2i + (7i)(5 + -1i) = 0 Reorder the terms for easier multiplication: -6 * -2i * i + (7i)(5 + -1i) = 0 Multiply -6 * -2 12i * i + (7i)(5 + -1i) = 0 Multiply i * i 12i2 + (7i)(5 + -1i) = 0 Remove parenthesis around (7i) 12i2 + 7i(5 + -1i) = 0 12i2 + (5 * 7i + -1i * 7i) = 0 12i2 + (35i + -7i2) = 0 Reorder the terms: 35i + 12i2 + -7i2 = 0 Combine like terms: 12i2 + -7i2 = 5i2 35i + 5i2 = 0 Solving 35i + 5i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '5i'. 5i(7 + i) = 0 Ignore the factor 5.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 '(7 + i)' equal to zero and attempt to solve: Simplifying 7 + i = 0 Solving 7 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + i = 0 + -7 i = 0 + -7 Combine like terms: 0 + -7 = -7 i = -7 Simplifying i = -7Solution
i = {0, -7}
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