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Simplifying (-4 + -6i)(-4 + 6i) = 0 Multiply (-4 + -6i) * (-4 + 6i) (-4(-4 + 6i) + -6i * (-4 + 6i)) = 0 ((-4 * -4 + 6i * -4) + -6i * (-4 + 6i)) = 0 ((16 + -24i) + -6i * (-4 + 6i)) = 0 (16 + -24i + (-4 * -6i + 6i * -6i)) = 0 (16 + -24i + (24i + -36i2)) = 0 Combine like terms: -24i + 24i = 0 (16 + 0 + -36i2) = 0 (16 + -36i2) = 0 Solving 16 + -36i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -36i2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -36i2 = 0 + -16 -36i2 = 0 + -16 Combine like terms: 0 + -16 = -16 -36i2 = -16 Divide each side by '-36'. i2 = 0.4444444444 Simplifying i2 = 0.4444444444 Take the square root of each side: i = {-0.666666667, 0.666666667}
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