To find the solutions of the quadratic equation x² + 5x = 0, we can factor the equation. First, we look for common factors in the terms.
The equation can be rewritten as:
x(x + 5) = 0
Now, we can set each factor equal to zero:
- x = 0
- x + 5 = 0 → x = -5
Therefore, the solutions to the quadratic equation are x = 0 and x = -5. This means that the points (0, 0) and (-5, 0) are where the graph of the equation intersects the x-axis.