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(2-3x)(4+6x+9x²)+3x(3x-1)*(3x+1)=8-3x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
          /             2\                                    
(2 - 3*x)*\4 + 6*x + 9*x / + 3*x*(3*x - 1)*(3*x + 1) = 8 - 3*x
$$3 x \left(3 x - 1\right) \left(3 x + 1\right) + \left(2 - 3 x\right) \left(9 x^{2} + \left(6 x + 4\right)\right) = 8 - 3 x$$
Solución detallada
Tenemos la ecuación:
(2-3*x)*(4+6*x+9*x^2)+3*x*(3*x-1)*(3*x+1) = 8-3*x

Abrimos la expresión:
8 - 27*x^3 + ((3*x)*(3*x - 1))*(3*x + 1) = 8-3*x

8 - 27*x^3 + - 3*x + 27*x^3 = 8-3*x

Reducimos, obtenemos:
0 = 0

Transportamos los términos libres (sin x)
del miembro izquierdo al derecho, obtenemos:
$$0 = 0$$
Esta ecuación es una igualdad, su solución es cualquier x
Gráfica
Suma y producto de raíces [src]
suma
0
$$0$$
=
0
$$0$$
producto
1
$$1$$
=
1
$$1$$
1
Respuesta numérica [src]
x1 = -8.0
x2 = 60.0
x3 = 0.0
x4 = 16.0
x5 = 88.0
x6 = 62.0
x7 = 58.0
x8 = -88.0
x9 = -44.0
x10 = -80.0
x11 = 48.0
x12 = 84.0
x13 = -24.0
x14 = -98.0
x15 = 72.0
x16 = 42.0
x17 = 22.0
x18 = 82.0
x19 = -18.0
x20 = -58.0
x21 = -70.0
x22 = 24.0
x23 = -6.0
x24 = 92.0
x25 = 18.0
x26 = 94.0
x27 = 10.0
x28 = -22.0
x29 = -26.0
x30 = -50.0
x31 = 46.0
x32 = 28.0
x33 = 26.0
x34 = 70.0
x35 = 66.0
x36 = -92.0
x37 = 40.0
x38 = -78.0
x39 = 64.0
x40 = -76.0
x41 = 54.0
x42 = -32.0
x43 = 98.0
x44 = -10.0
x45 = 86.0
x46 = -34.0
x47 = -12.0
x48 = 14.0
x49 = -16.0
x50 = -60.0
x51 = -94.0
x52 = -48.0
x53 = 6.0
x54 = -66.0
x55 = -74.0
x56 = -96.0
x57 = 100.0
x58 = 32.0
x59 = -40.0
x60 = -38.0
x61 = -100.0
x62 = 74.0
x63 = -62.0
x64 = -82.0
x65 = -56.0
x66 = -64.0
x67 = 78.0
x68 = 76.0
x69 = 8.0
x70 = 38.0
x71 = 2.0
x72 = -46.0
x73 = -28.0
x74 = -36.0
x75 = 34.0
x76 = -52.0
x77 = 90.0
x78 = -2.0
x79 = 68.0
x80 = 36.0
x81 = 56.0
x82 = 12.0
x83 = 4.0
x84 = -90.0
x85 = -86.0
x86 = 80.0
x87 = 52.0
x88 = 50.0
x89 = 44.0
x90 = -72.0
x91 = -20.0
x92 = 96.0
x93 = -14.0
x94 = -30.0
x95 = -4.0
x96 = -42.0
x97 = 20.0
x98 = -68.0
x99 = 30.0
x100 = -54.0
x101 = -84.0
x101 = -84.0