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Simplifying (-3 + 2i)(-3 + -7i) = 23 + 15i Multiply (-3 + 2i) * (-3 + -7i) (-3(-3 + -7i) + 2i * (-3 + -7i)) = 23 + 15i ((-3 * -3 + -7i * -3) + 2i * (-3 + -7i)) = 23 + 15i ((9 + 21i) + 2i * (-3 + -7i)) = 23 + 15i (9 + 21i + (-3 * 2i + -7i * 2i)) = 23 + 15i (9 + 21i + (-6i + -14i2)) = 23 + 15i Combine like terms: 21i + -6i = 15i (9 + 15i + -14i2) = 23 + 15i Add '-15i' to each side of the equation. 9 + 15i + -15i + -14i2 = 23 + 15i + -15i Combine like terms: 15i + -15i = 0 9 + 0 + -14i2 = 23 + 15i + -15i 9 + -14i2 = 23 + 15i + -15i Combine like terms: 15i + -15i = 0 9 + -14i2 = 23 + 0 9 + -14i2 = 23 Solving 9 + -14i2 = 23 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14i2 = 23 + -9 Combine like terms: 9 + -9 = 0 0 + -14i2 = 23 + -9 -14i2 = 23 + -9 Combine like terms: 23 + -9 = 14 -14i2 = 14 Divide each side by '-14'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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