Algebra 2 finding the zero factor property

Question

7x²+9x=0

 

whats the greatest common factor. And how do you solve it and is this a solution or not

Answer 1

Dear Sydney,

     The zero property product means the following:  If  A * B = 0, then A=0 or B=0, or all two of the variables are zero.

 

All you have to do is factor.

 

7X²  + 9X =0=Y                   Since both terms have an "X" factor out "X."

 

X(7X + 9)=0=Y            X times 7X= 7X²    and X times 9= 9X

 

 

Then using the zero-product property just  say the following:   X= 0 or 7X+9=0.  The 7X+9= 0 has to be solved for "X."

 

7X=-9     Then divide both sides by 7.  

 

X= -9/7           X=0            solutions   

  

 

0(7X+9)=0=y           or      X(((7/1)(-9/7)+9)=0   X(-9 +9)= X(0)=0

 

 

This finds out when Y =0, so you are finding the roots or solutions for this parabola, where it crosses the X-axis. 

 

Coordinate points    (0,0)  and (-9/7,0)

 

If I helped you, please give me a thumbs up.

       

                                                                  Susan C.

 

 

Answer 2

The greatest common factor on the left side of equation is x.  Use this as the GCF to factor.

 

x(7x + 9) = 0

 

 

Set the factors equal to zero.

 

x = 0           and         7x + 9 = 0

 

 

Solve the second equation to solve for the other x value.