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Simplifying (x)(x + -3 + -5i)(x + -3 + 5i) = 0 Reorder the terms: x(-3 + -5i + x)(x + -3 + 5i) = 0 Reorder the terms: x(-3 + -5i + x)(-3 + 5i + x) = 0 Multiply (-3 + -5i + x) * (-3 + 5i + x) x(-3(-3 + 5i + x) + -5i * (-3 + 5i + x) + x(-3 + 5i + x)) = 0 x((-3 * -3 + 5i * -3 + x * -3) + -5i * (-3 + 5i + x) + x(-3 + 5i + x)) = 0 x((9 + -15i + -3x) + -5i * (-3 + 5i + x) + x(-3 + 5i + x)) = 0 x(9 + -15i + -3x + (-3 * -5i + 5i * -5i + x * -5i) + x(-3 + 5i + x)) = 0 Reorder the terms: x(9 + -15i + -3x + (15i + -5ix + -25i2) + x(-3 + 5i + x)) = 0 x(9 + -15i + -3x + (15i + -5ix + -25i2) + x(-3 + 5i + x)) = 0 x(9 + -15i + -3x + 15i + -5ix + -25i2 + (-3 * x + 5i * x + x * x)) = 0 Reorder the terms: x(9 + -15i + -3x + 15i + -5ix + -25i2 + (5ix + -3x + x2)) = 0 x(9 + -15i + -3x + 15i + -5ix + -25i2 + (5ix + -3x + x2)) = 0 Reorder the terms: x(9 + -15i + 15i + -5ix + 5ix + -25i2 + -3x + -3x + x2) = 0 Combine like terms: -15i + 15i = 0 x(9 + 0 + -5ix + 5ix + -25i2 + -3x + -3x + x2) = 0 x(9 + -5ix + 5ix + -25i2 + -3x + -3x + x2) = 0 Combine like terms: -5ix + 5ix = 0 x(9 + 0 + -25i2 + -3x + -3x + x2) = 0 x(9 + -25i2 + -3x + -3x + x2) = 0 Combine like terms: -3x + -3x = -6x x(9 + -25i2 + -6x + x2) = 0 (9 * x + -25i2 * x + -6x * x + x2 * x) = 0 Reorder the terms: (-25i2x + 9x + -6x2 + x3) = 0 (-25i2x + 9x + -6x2 + x3) = 0 Solving -25i2x + 9x + -6x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9x' to each side of the equation. -25i2x + 9x + -6x2 + -9x + x3 = 0 + -9x Reorder the terms: -25i2x + 9x + -9x + -6x2 + x3 = 0 + -9x Combine like terms: 9x + -9x = 0 -25i2x + 0 + -6x2 + x3 = 0 + -9x -25i2x + -6x2 + x3 = 0 + -9x Remove the zero: -25i2x + -6x2 + x3 = -9x Add '6x2' to each side of the equation. -25i2x + -6x2 + 6x2 + x3 = -9x + 6x2 Combine like terms: -6x2 + 6x2 = 0 -25i2x + 0 + x3 = -9x + 6x2 -25i2x + x3 = -9x + 6x2 Add '-1x3' to each side of the equation. -25i2x + x3 + -1x3 = -9x + 6x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -25i2x + 0 = -9x + 6x2 + -1x3 -25i2x = -9x + 6x2 + -1x3 Divide each side by '-25x'. i2 = 0.36 + -0.24x + 0.04x2 Simplifying i2 = 0.36 + -0.24x + 0.04x2 Reorder the terms: -0.36 + i2 + 0.24x + -0.04x2 = 0.36 + -0.24x + 0.04x2 + -0.36 + 0.24x + -0.04x2 Reorder the terms: -0.36 + i2 + 0.24x + -0.04x2 = 0.36 + -0.36 + -0.24x + 0.24x + 0.04x2 + -0.04x2 Combine like terms: 0.36 + -0.36 = 0.00 -0.36 + i2 + 0.24x + -0.04x2 = 0.00 + -0.24x + 0.24x + 0.04x2 + -0.04x2 -0.36 + i2 + 0.24x + -0.04x2 = -0.24x + 0.24x + 0.04x2 + -0.04x2 Combine like terms: -0.24x + 0.24x = 0.00 -0.36 + i2 + 0.24x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2 -0.36 + i2 + 0.24x + -0.04x2 = 0.04x2 + -0.04x2 Combine like terms: 0.04x2 + -0.04x2 = 0.00 -0.36 + i2 + 0.24x + -0.04x2 = 0.00 The solution to this equation could not be determined.
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