Solve: 5x² + 25x = 0

Solution:

Given Equation is :

5x² + 25x = 0.

Let us use the zero product rule, to solve the equation.

By taking out the common factors, we get

5x ( x + 5) = 0

[ Since, the product of 5x and (x + 5) is equal to zero.]

The zero product rule says that the product of factors is zero if and only one or more factors is zero.

Now,

considering 5x = 0,

we get x = 0

and x + 5 = 0, we get x = - 5

Hence, the solution of the equation 5x²+ 25x = 0 is x = 0 and - 5.

Solve: 5x² + 25x = 0

Summary:

The equation 5x² + 25x = 0 has two solutions x = 0, and - 5.