Solve each equation. Show all of your work and check your answer

4x=1/3(6x-30)-2

x = -6

Step-by-step explanation:

Solve:

4x = 1/3(6x - 30) - 2

4x = 2x - 10 - 2

2x = -10 - 2

2x = -12

x = -6

Check:

4(-6) = 1/3(6(-6) - 30) - 2

-24 = 1/3(-36 - 30) - 2

-24 = 1/3(-66) - 2

-24 = -22 - 2

-24 = -24

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.