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Simplifying x2 + -6x + 9 + -4i2 = 0 Reorder the terms: 9 + -4i2 + -6x + x2 = 0 Solving 9 + -4i2 + -6x + x2 = 0 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 + -4i2 + -6x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -4i2 + -6x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4i2 + -6x + x2 = 0 + -9 -4i2 + -6x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4i2 + -6x + x2 = -9 Add '6x' to each side of the equation. -4i2 + -6x + 6x + x2 = -9 + 6x Combine like terms: -6x + 6x = 0 -4i2 + 0 + x2 = -9 + 6x -4i2 + x2 = -9 + 6x Add '-1x2' to each side of the equation. -4i2 + x2 + -1x2 = -9 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 -4i2 + 0 = -9 + 6x + -1x2 -4i2 = -9 + 6x + -1x2 Divide each side by '-4'. i2 = 2.25 + -1.5x + 0.25x2 Simplifying i2 = 2.25 + -1.5x + 0.25x2 Reorder the terms: -2.25 + i2 + 1.5x + -0.25x2 = 2.25 + -1.5x + 0.25x2 + -2.25 + 1.5x + -0.25x2 Reorder the terms: -2.25 + i2 + 1.5x + -0.25x2 = 2.25 + -2.25 + -1.5x + 1.5x + 0.25x2 + -0.25x2 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + i2 + 1.5x + -0.25x2 = 0.00 + -1.5x + 1.5x + 0.25x2 + -0.25x2 -2.25 + i2 + 1.5x + -0.25x2 = -1.5x + 1.5x + 0.25x2 + -0.25x2 Combine like terms: -1.5x + 1.5x = 0.0 -2.25 + i2 + 1.5x + -0.25x2 = 0.0 + 0.25x2 + -0.25x2 -2.25 + i2 + 1.5x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -2.25 + i2 + 1.5x + -0.25x2 = 0.00 The solution to this equation could not be determined.
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