What is the justification for each step in solving the inequality?

75x+35≥7(11x+9)+475x+35≥7(11x+9)+4

75x+35≥7(11x+9)+475x+35≥7(11x+9)+4

75x+35≥77x+63+475x+35≥77x+63+4

75x+35≥77x+6775x+35≥77x+67

−2x+35≥67−2x+35≥67 −2x≥32−2x≥32

x≤−16x≤−16

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.