To solve this equation, we need to first expand the left side of the equation:
X(x+1)(x^2+x+1) = X(x^3 + x^2 + x + x^2 + x + 1)= X(x^3 + 2x^2 + 2x + 1)
Now we can rewrite the equation as:
X(x^3 + 2x^2 + 2x + 1) = 6
Multiplying out the left side, we get:
X^4 + 2X^3 + 2X^2 + X = 6
Now we need to find the value of X that satisfies this equation.
To solve this equation, we need to first expand the left side of the equation:
X(x+1)(x^2+x+1) = X(x^3 + x^2 + x + x^2 + x + 1)
= X(x^3 + 2x^2 + 2x + 1)
Now we can rewrite the equation as:
X(x^3 + 2x^2 + 2x + 1) = 6
Multiplying out the left side, we get:
X^4 + 2X^3 + 2X^2 + X = 6
Now we need to find the value of X that satisfies this equation.