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Simplifying (x + 2)(x + -3)(x + 3 + -2i)(x + 3 + 2i) = 0 Reorder the terms: (2 + x)(x + -3)(x + 3 + -2i)(x + 3 + 2i) = 0 Reorder the terms: (2 + x)(-3 + x)(x + 3 + -2i)(x + 3 + 2i) = 0 Reorder the terms: (2 + x)(-3 + x)(3 + -2i + x)(x + 3 + 2i) = 0 Reorder the terms: (2 + x)(-3 + x)(3 + -2i + x)(3 + 2i + x) = 0 Multiply (2 + x) * (-3 + x) (2(-3 + x) + x(-3 + x))(3 + -2i + x)(3 + 2i + x) = 0 ((-3 * 2 + x * 2) + x(-3 + x))(3 + -2i + x)(3 + 2i + x) = 0 ((-6 + 2x) + x(-3 + x))(3 + -2i + x)(3 + 2i + x) = 0 (-6 + 2x + (-3 * x + x * x))(3 + -2i + x)(3 + 2i + x) = 0 (-6 + 2x + (-3x + x2))(3 + -2i + x)(3 + 2i + x) = 0 Combine like terms: 2x + -3x = -1x (-6 + -1x + x2)(3 + -2i + x)(3 + 2i + x) = 0 Multiply (-6 + -1x + x2) * (3 + -2i + x) (-6(3 + -2i + x) + -1x * (3 + -2i + x) + x2(3 + -2i + x))(3 + 2i + x) = 0 ((3 * -6 + -2i * -6 + x * -6) + -1x * (3 + -2i + x) + x2(3 + -2i + x))(3 + 2i + x) = 0 ((-18 + 12i + -6x) + -1x * (3 + -2i + x) + x2(3 + -2i + x))(3 + 2i + x) = 0 (-18 + 12i + -6x + (3 * -1x + -2i * -1x + x * -1x) + x2(3 + -2i + x))(3 + 2i + x) = 0 Reorder the terms: (-18 + 12i + -6x + (2ix + -3x + -1x2) + x2(3 + -2i + x))(3 + 2i + x) = 0 (-18 + 12i + -6x + (2ix + -3x + -1x2) + x2(3 + -2i + x))(3 + 2i + x) = 0 (-18 + 12i + -6x + 2ix + -3x + -1x2 + (3 * x2 + -2i * x2 + x * x2))(3 + 2i + x) = 0 Reorder the terms: (-18 + 12i + -6x + 2ix + -3x + -1x2 + (-2ix2 + 3x2 + x3))(3 + 2i + x) = 0 (-18 + 12i + -6x + 2ix + -3x + -1x2 + (-2ix2 + 3x2 + x3))(3 + 2i + x) = 0 Reorder the terms: (-18 + 12i + 2ix + -2ix2 + -6x + -3x + -1x2 + 3x2 + x3)(3 + 2i + x) = 0 Combine like terms: -6x + -3x = -9x (-18 + 12i + 2ix + -2ix2 + -9x + -1x2 + 3x2 + x3)(3 + 2i + x) = 0 Combine like terms: -1x2 + 3x2 = 2x2 (-18 + 12i + 2ix + -2ix2 + -9x + 2x2 + x3)(3 + 2i + x) = 0 Multiply (-18 + 12i + 2ix + -2ix2 + -9x + 2x2 + x3) * (3 + 2i + x) (-18(3 + 2i + x) + 12i * (3 + 2i + x) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 ((3 * -18 + 2i * -18 + x * -18) + 12i * (3 + 2i + x) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 ((-54 + -36i + -18x) + 12i * (3 + 2i + x) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + (3 * 12i + 2i * 12i + x * 12i) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 Reorder the terms: (-54 + -36i + -18x + (36i + 12ix + 24i2) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + (36i + 12ix + 24i2) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + (3 * 2ix + 2i * 2ix + x * 2ix) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 Reorder the terms: (-54 + -36i + -18x + 36i + 12ix + 24i2 + (6ix + 2ix2 + 4i2x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + (6ix + 2ix2 + 4i2x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + (3 * -2ix2 + 2i * -2ix2 + x * -2ix2) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 Reorder the terms: (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + (-6ix2 + -2ix3 + -4i2x2) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + (-6ix2 + -2ix3 + -4i2x2) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + (3 * -9x + 2i * -9x + x * -9x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 Reorder the terms: (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + (-18ix + -27x + -9x2) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + (-18ix + -27x + -9x2) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + (3 * 2x2 + 2i * 2x2 + x * 2x2) + x3(3 + 2i + x)) = 0 Reorder the terms: (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + (4ix2 + 6x2 + 2x3) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + (4ix2 + 6x2 + 2x3) + x3(3 + 2i + x)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + 4ix2 + 6x2 + 2x3 + (3 * x3 + 2i * x3 + x * x3)) = 0 Reorder the terms: (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + 4ix2 + 6x2 + 2x3 + (2ix3 + 3x3 + x4)) = 0 (-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + 4ix2 + 6x2 + 2x3 + (2ix3 + 3x3 + x4)) = 0 Reorder the terms: (-54 + -36i + 36i + 12ix + 6ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: -36i + 36i = 0 (-54 + 0 + 12ix + 6ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 (-54 + 12ix + 6ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: 12ix + 6ix = 18ix (-54 + 18ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: 18ix + -18ix = 0 (-54 + 0 + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 (-54 + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: 2ix2 + -6ix2 = -4ix2 (-54 + -4ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: -4ix2 + 4ix2 = 0 (-54 + 0 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 (-54 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: -2ix3 + 2ix3 = 0 (-54 + 0 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 (-54 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: -18x + -27x = -45x (-54 + 24i2 + 4i2x + -4i2x2 + -45x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: -9x2 + 6x2 = -3x2 (-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 2x3 + 3x3 + x4) = 0 Combine like terms: 2x3 + 3x3 = 5x3 (-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4) = 0 Solving -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + 54 + x4 = 0 + 54 Reorder the terms: -54 + 54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 54 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 54 Combine like terms: 0 + 54 = 54 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 54 Add '45x' to each side of the equation. 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + 45x + x4 = 54 + 45x Reorder the terms: 24i2 + 4i2x + -4i2x2 + -45x + 45x + -3x2 + 5x3 + x4 = 54 + 45x Combine like terms: -45x + 45x = 0 24i2 + 4i2x + -4i2x2 + 0 + -3x2 + 5x3 + x4 = 54 + 45x 24i2 + 4i2x + -4i2x2 + -3x2 + 5x3 + x4 = 54 + 45x Add '3x2' to each side of the equation. 24i2 + 4i2x + -4i2x2 + -3x2 + 5x3 + 3x2 + x4 = 54 + 45x + 3x2 Reorder the terms: 24i2 + 4i2x + -4i2x2 + -3x2 + 3x2 + 5x3 + x4 = 54 + 45x + 3x2 Combine like terms: -3x2 + 3x2 = 0 24i2 + 4i2x + -4i2x2 + 0 + 5x3 + x4 = 54 + 45x + 3x2 24i2 + 4i2x + -4i2x2 + 5x3 + x4 = 54 + 45x + 3x2 Add '-5x3' to each side of the equation. 24i2 + 4i2x + -4i2x2 + 5x3 + -5x3 + x4 = 54 + 45x + 3x2 + -5x3 Combine like terms: 5x3 + -5x3 = 0 24i2 + 4i2x + -4i2x2 + 0 + x4 = 54 + 45x + 3x2 + -5x3 24i2 + 4i2x + -4i2x2 + x4 = 54 + 45x + 3x2 + -5x3 Add '-1x4' to each side of the equation. 24i2 + 4i2x + -4i2x2 + x4 + -1x4 = 54 + 45x + 3x2 + -5x3 + -1x4 Combine like terms: x4 + -1x4 = 0 24i2 + 4i2x + -4i2x2 + 0 = 54 + 45x + 3x2 + -5x3 + -1x4 24i2 + 4i2x + -4i2x2 = 54 + 45x + 3x2 + -5x3 + -1x4 Reorder the terms: -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 54 + 45x + 3x2 + -5x3 + -1x4 + -54 + -45x + -3x2 + 5x3 + x4 Reorder the terms: -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 54 + -54 + 45x + -45x + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4 Combine like terms: 54 + -54 = 0 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 45x + -45x + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 45x + -45x + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4 Combine like terms: 45x + -45x = 0 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4 Combine like terms: 3x2 + -3x2 = 0 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + -5x3 + 5x3 + -1x4 + x4 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = -5x3 + 5x3 + -1x4 + x4 Combine like terms: -5x3 + 5x3 = 0 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + -1x4 + x4 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 -54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 The solution to this equation could not be determined.
| 234/303 | | d/21 | | 8x=-12+28 | | 0=16t^2+30t-1 | | 2/2x=m | | 7(11-5)=42 | | 16.25+7x-9.2=-13.15 | | 18x=380 | | 7.05+7x=-13.15 | | 3+7=x-5 | | 4=-26w | | 9(x+3)+x=47 | | 52=3y-8 | | -6(w+4)+9=-39 | | 6+1-4b+5=-3b-3b | | 9=-15k | | (8y)=(5y+24) | | m/-15-19 | | -5=11y | | 5(16x+1)=5(8x+2) | | 3x-5+7x=15 | | 0.1x^2+5x+2.6=0 | | -4=13t | | -0.5t-4.5+5.75t=0.375t | | (6y-15)=(3y) | | -6=-9a | | 3/5c=13.32 | | 5x+8+x+4=180 | | 3(m-4)+2=26 | | (5y)=(2y+15) | | -18(x+2)=144 | | (16x^(1/2))(4x^(1/2))=0 |