What are the solutions to x^2=16x-28

x=14

Step-by-step explanation:

Step-1 :

Multiply the coefficient of the first term by the constant   1 • 28 = 28  

Step-2 :Find two factors of  28  whose sum equals the coefficient of the middle term, which is   -16 .

-28+   -1  =  -29  

-14 +  -2=  -16  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -2

x2 - 14x - 2x - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

          x • (x-14)

 Add up the last 2 terms, pulling out common factors :

          2 • (x-14)

Step-5 : Add up the four terms of step 4 :

     (x-2)  •  (x-14)

Answer:

x=14

1 1/5

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x