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Simplifying (-6 + 6i) + -1(3 + -9i) = (-6 + -3) + [6 + -1(-9)] * i Remove parenthesis around (-6 + 6i) -6 + 6i + -1(3 + -9i) = (-6 + -3) + [6 + -1(-9)] * i -6 + 6i + (3 * -1 + -9i * -1) = (-6 + -3) + [6 + -1(-9)] * i -6 + 6i + (-3 + 9i) = (-6 + -3) + [6 + -1(-9)] * i Reorder the terms: -6 + -3 + 6i + 9i = (-6 + -3) + [6 + -1(-9)] * i Combine like terms: -6 + -3 = -9 -9 + 6i + 9i = (-6 + -3) + [6 + -1(-9)] * i Combine like terms: 6i + 9i = 15i -9 + 15i = (-6 + -3) + [6 + -1(-9)] * i Combine like terms: -6 + -3 = -9 -9 + 15i = (-9) + [6 + -1(-9)] * i -9 + 15i = -9 + [6 + -1(-9)] * i Multiply -1 * -9 -9 + 15i = -9 + [6 + 9] * i Combine like terms: 6 + 9 = 15 -9 + 15i = -9 + [15] * i Add '9' to each side of the equation. -9 + 9 + 15i = -9 + 9 + 15i Combine like terms: -9 + 9 = 0 0 + 15i = -9 + 9 + 15i 15i = -9 + 9 + 15i Combine like terms: -9 + 9 = 0 15i = 0 + 15i 15i = 15i Add '-15i' to each side of the equation. 15i + -15i = 15i + -15i Combine like terms: 15i + -15i = 0 0 = 15i + -15i Combine like terms: 15i + -15i = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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