Question

What are the solutions to the quadratic equation 5x2 + 60x = 0?

A.) x = 0 and x = −12

B.) x = 0 and x = 12

C.) x = 5 and x = −12

D.) x = 5 and x = 12

Answer 1

It's A.

Explanation:

5x2 + 60x = 0

5x is the GCF so:

5x(x + 12 ) = 0

5x = 0, x + 12 = 0

x =0, x = -12.

Answer 2

The correct option is 1.

Explanation:

The given quadratic equation is

`5x^2+60x=0`

Taking out the common factors.

`5x(x+12)=0`

Using zero product property, equate each factor equal to 0.

`5x=0\Rightarrow x=0`

`x+12=0\Rightarrow x=-12`

The solutions of the given equations are x=0 and x=-12.

Therefore the correct option is 1.