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.
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.