4(x + 3) + 2x = x – 8
A. one solution
B. no solutions
C. infinitely many solutions

one solution

Step-by-step explanation:

6x+12=x−86x+12=x-8

Move all terms containing xx to the left side of the equation.

5x+12=−85x+12=-8

Move all terms not containing xx to the right side of the equation.

5x=−205x=-20

Divide each term by 55 and simplify.

x=-4

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.