To solve the equation 5x² + 25x + 0, we can start by factoring out the common term from each component of the equation.
First, notice that each term shares a factor of 5x:
5x² + 25x + 0 = 5x(x + 5)
Next, we can set each factor equal to zero. This gives us two possible equations to solve:
- 5x = 0
- x + 5 = 0
For the first equation, 5x = 0:
Dividing both sides by 5, we get x = 0.
For the second equation, x + 5 = 0:
Subtracting 5 from both sides gives us x = -5.
In conclusion, the solutions to the equation 5x² + 25x + 0 = 0 are x = 0 and x = -5.