Solve completely
3x^3-48x^2=0

Two solutions were found :

x = 16

x = 0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (3 • (x3)) -  (24•3x2)  = 0  

Step  2  :

Equation at the end of step  2  :

 3x3 -  (24•3x2)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x3 - 48x2  =   3x2 • (x - 16)  

Equation at the end of step  4  :

 3x2 • (x - 16)  = 0  

Step  5  :

Theory - Roots of a product :

5.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2      Solve  :    3x2 = 0  

Divide both sides of the equation by 3:

                    x2 = 0

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 0  

Any root of zero is zero. This equation has one solution which is  x = 0

Solving a Single Variable Equation :

5.3      Solve  :    x-16 = 0  

Add  16  to both sides of the equation :  

                     x = 16

Two solutions were found :

x = 16

x = 0

Step-by-step explanation:

4x and 6y

im not sure though

it would open into a square depending on the type of envelope i’m not sure about the second part