Question

What are the 2 equations of 5x^2 + 75x = 0

Answer 1

To find the equations represented by the expression \( 5x^2 + 75x = 0 \), we can start by factoring the equation.

1. **Factor out common terms**:
\[
5x(x + 15) = 0
\]

This gives us two factors to consider. We can set each factor equal to zero to find the solutions:

2. **Set each factor to zero**:
- First factor: \( 5x = 0 \)
\[
x = 0
\]

- Second factor: \( x + 15 = 0 \)
\[
x = -15
\]

Thus, the two equations derived from the original equation \( 5x^2 + 75x = 0 \) are:

1. \( x = 0 \)
2. \( x = -15 \)

These represent the two solutions (or equations) for \( x \) from the original quadratic equation.