X(x+1)(х-10)=(х-1)(х-3)(х-5)-

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Expanding both sides of the equation gives:

X(x^2 - 10x + x - 10) = x^3 - 3x^2 - 5x - x^2 + 3x + 5x - 15

Simplifying further:

X(x^2 - 9x - 10) = x^3 - 3x^2

Distributing X:

X^3 - 9X^2 - 10X = x^3 - 3x^2

Subtracting x^3 and 3x^2 from both sides:

X^3 - 9X^2 - 10X - x^3 + 3x^2 = 0

Combining like terms:

X^3 - x^3 - 9X^2 + 3X^2 - 10X = 0

Simplifying:

-8X^2 - 10X = 0

Factor out an X:

X(-8X - 10) = 0

Solving for X:

X = 0 or X = -10/8 = -5/4

Therefore, the solutions for X are X = 0 and X = -5/4.