Which of the following are solutions to the equation below? 15x^2-46x+35=0

option C and D

Step-by-step explanation:

15x^2 - 46x + 35=0

First multiply 15  and 35. 15* 35 = 525

Product is 525  and sum is -46

-21 times  -25 = 525

-21 +(-25)= -46

break the middle term -46x using factors -21  and -25

Take out GCf from each group

3x (5x-7) -5(5x-7)=0

Factor out 5x-7

(5x-7)(3x-5)=0

Now we set each factor =0 and solve for x

5x -7 =0  

add 7 on both sides and then divide it by 5

x= 7/5

3x -5 =0

add 5 on both sides and then divide by 3

x= 5/3

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

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x