Question

What are the solutions of 6x2 + 2x – 20 = 0 if you are factoring to find the solutions of an equation using the zero product property

Answer 1

Hello,

6x²+2x-20=0
==>6x²+12x-10x-20=0
==>6x(x+2)-10(x+2)=0
==>(x+2)(6x-10)=0

==>x=-2 or x=5/3

Answer 2

`x=(5)/(3)` and
`x=-2`

Explanation:

The given equation is:

`6x^2+2x-20=0`

which can be simplified as:

`3x^2+x-10=0`

Factorizing the above equation, we get

`3x^2+6x-5x-10=0`

`3x(x+2)-5(x+2)=0`

`(3x-5)(x+2)=0`

Thus, Using the zero product property ,the solutions of the given equations are:

`x=(5)/(3)` and
`x=-2`