To solve the expression, we start by simplifying it. Combine like terms in the expression:
- 1x + 3x = 4x
This gives us the simplified expression:
4x + 10x²
Next, we will set this expression to zero to find the roots:
10x² + 4x = 0
We can factor this equation:
- 2x(5x + 2) = 0
Setting each factor to zero gives us the solutions:
- 2x = 0 → x = 0
- 5x + 2 = 0 → 5x = -2 → x = -2/5
Now we have the solutions: x = 0 and x = -2/5.
To list the solutions from least to greatest:
- x = -2/5
- x = 0
So, the solutions ordered from least to greatest are:
- x = -2/5
- x = 0
In conclusion, we’ve solved the expression and found the two solutions. Check your calculations to ensure accuracy, and that the factors multiply back to the original equation.