Solve below quadratic equation by basic factorization:(x2+21x)=0

Sure, let's solve the quadratic equation step by step.

The given equation is x^2 + 21x = 0.

Step 1: The first step in factorization is to take out the common factors. In this equation, x is a common factor. So, let's factor out x.

x(x + 21) = 0

Step 2: Now, we set each factor equal to zero and solve for x.

So, x = 0 and x + 21 = 0.

Solving x + 21 = 0, we get x = -21.

So, the solutions to the equation x^2 + 21x = 0 are x = 0 and x = -21.