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To solve -5*(6x^3 -
4x^2 + x-3) = 0
-5*(6x^3 - 4x^2 + x-3) =
0
=> 6x^3 - 4x^2 + x-3 =
0
=> 6x^3 - 6x^2 + 2x^2 - 2x + 3x - 3 =
0
=> 6x^2(x = 1) + 2x(x - 1) + 3(x - 1) =
0
=> (x - 1)[6x^2 + 2x + 3] =
0
x1 =1
6x^2 + 2x + 3 = 0
gives us
x2 = -2/12 + sqrt(4 -
72)/12
=> -1/6 + i*sqrt 68 /
12
=> -1/6 + 2*i*sqrt 17 /
12
=> (-1 + i*sqrt
17)/6
x3 = (-1 -i*sqrt
17)/6
The solutions of the equation are: (1,
(-1 + i*sqrt 17)/6, (-1 -i*sqrt 17)/6)
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