Solve the equation step-by-step for x: -4x+3(7x+38)=199

x = 5

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (-4x +  3 • (7x + 38)) -  199  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  17x - 85  =   17 • (x - 5)

Equation at the end of step  3  :

 17 • (x - 5)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    17   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

One solution was found :

                  x = 5

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.

$12. that is my answer.