Solve for the roots in simplest form using the quadratic formula:
4x^2 -28x= -53

x = (28 +- root -64) / (8)

Step-by-step explanation:

4x^2 -28x= -53 = 0

x = [-(-28)+- root (-28)^2 - 4 * 4 * 53] / 2 *4

x = (28 +- root 784 - 848) / (8)

x = (28 +- root -64) / (8)

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

faster, im not sure why but i know it is faster