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

Answer:

$x=\frac{5}{3}$ and $x=-2$

Step-by-step 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:

$x=\frac{5}{3}$ and $x=-2$