Question

Which of the following shows the solution set to the quadratic equation 8x2+40x=0

Answer 1

The solution set to the quadratic equation 8x^2 + 40x = 0 is {0, -5}.

Step-by-step explanation:

The given quadratic equation is 8x^2 + 40x = 0.

To find the solution set, we can factor out 8x from both terms:

8x(x + 5) = 0

Now, we can set each factor equal to zero:

8x = 0 or x + 5 = 0

Solving these equations, we get:

x = 0 or x = -5

Therefore, the solution set to the quadratic equation 8x^2 + 40x = 0 is {0, -5}.

Answer 2

Option 2

Step-by-step explanation:

There are many ways to do it. You can also just use your scientific calculator to directly get the answer. But now I'm going to solve the equation by factoring.

8x² + 40x = 0

Factor out 8x from the expression

8x ( x + 5 ) = 0

Divide both sides by 8

8x ( x + 5 ) ÷8 = 0 ÷8

x ( x + 5 ) = 0

Now we have two factors, x & x+5. Set each factors equal to zero

x = 0

x + 5 = 0

Now solve the equation

x = 0

x = -5

Then you get the answer!