Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 weeks ago

# Help with solving quadratic equation?

1. 2x^2+4x = 0

2. 9w^2=-18w

Relevance

2x² + 4x = 0

factor it first

2x(x + 2) = 0

one term or the other has to equal 0 for the product to be zero

2x = 0

x = 0

x+2 = 0

x = –2

so the two solutions are 0, –2

9w² = –18w

9w² + 18w = 0

same as above

9w(w + 2) = 0

w = 0, –2

• Steps:

1) Get everything on one side

2) Factor out the greatest common factor from each term

3) Use the zero product rule (if ab = 0, then a=0 or b=0)

Problem 1:

2x(x + 2) = 0

Problem 2:

9w(w + 2) = 0

You can easily take it from here, right?

• Hint:

1. factor out x. What do you get?

Unanon yourself and I will detail further.

Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very disrespectful of them.

• 1. . 2x^2+4x = 0

Factor out 2x

2x(x+2) = 0

This equation is true when either:

a) x=0

b) x+2= 0, or, from here, x= -2

These are two solutions for the quadratic.

2. 9w^2=-18w

9w^2 + 18w = 0

Factor out 9w

9w(w+2) = 0

This equation is true when either:

a) w=0

b) w+2= 0, or, from here, w= -2

These are two solutions for the quadratic.