Solve for x: |3x + 12| = 18 (5 points) A. x = 2, x = −10 B. x = 2, x = −2 C. x = 10, x = −10 D. x = −2, x = 10

The solution set is therefore {-10, 2}

Step-by-step explanation:

The absolute value equation |3x + 12| = 18 has two distinct solutions.

|3x + 12| = 18 may be rewritten as

3x + 12 = 18 and

-(3x + 12) = 18

The first equation immediately above becomes 3x = 6 after we subtract 12 from both sides.  Therefore, x = 6/3, or x = 2.

Simplifying the second equation yields -3x - 12 = 18.  To solve this for x, we add 12 to both sides, obtaining -3x = 30.

Dividing both sides by -3 yields x = -10.

The solution set is therefore {-10, 2}

the correct answer is the second option

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.