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Simplifying (x + 2i)(x + -2i) = 85 Reorder the terms: (2i + x)(x + -2i) = 85 Reorder the terms: (2i + x)(-2i + x) = 85 Multiply (2i + x) * (-2i + x) (2i * (-2i + x) + x(-2i + x)) = 85 ((-2i * 2i + x * 2i) + x(-2i + x)) = 85 Reorder the terms: ((2ix + -4i2) + x(-2i + x)) = 85 ((2ix + -4i2) + x(-2i + x)) = 85 (2ix + -4i2 + (-2i * x + x * x)) = 85 (2ix + -4i2 + (-2ix + x2)) = 85 Reorder the terms: (2ix + -2ix + -4i2 + x2) = 85 Combine like terms: 2ix + -2ix = 0 (0 + -4i2 + x2) = 85 (-4i2 + x2) = 85 Solving -4i2 + x2 = 85 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x2' to each side of the equation. -4i2 + x2 + -1x2 = 85 + -1x2 Combine like terms: x2 + -1x2 = 0 -4i2 + 0 = 85 + -1x2 -4i2 = 85 + -1x2 Divide each side by '-4'. i2 = -21.25 + 0.25x2 Simplifying i2 = -21.25 + 0.25x2 Reorder the terms: 21.25 + i2 + -0.25x2 = -21.25 + 0.25x2 + 21.25 + -0.25x2 Reorder the terms: 21.25 + i2 + -0.25x2 = -21.25 + 21.25 + 0.25x2 + -0.25x2 Combine like terms: -21.25 + 21.25 = 0.00 21.25 + i2 + -0.25x2 = 0.00 + 0.25x2 + -0.25x2 21.25 + i2 + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 21.25 + i2 + -0.25x2 = 0.00 The solution to this equation could not be determined.
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