(X^2+5x+1)+2x^2+10x=1

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Combining like terms, we have:

(2x^2 + x^2) + (5x + 10x) + 1 = 1

3x^2 + 15x + 1 = 1

Subtracting 1 from both sides:

3x^2 + 15x = 0

Now, we can factor out a common factor of 3x:

3x(x + 5) = 0

Setting each factor to 0:

3x = 0 or x + 5 = 0

Solving for x:

For 3x = 0:

x = 0

For x + 5 = 0:

x = -5

Therefore, the solutions to the equation are x = 0 and x = -5.