Question

What is x (3x-6) what is the answer​

Answer 1

Answer:

x(3x-6)=0

Step-by-step explanation:

x(3x-6)=0

Two solutions were found :

x = 2

x = 0

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)

Equation at the end of step  2  :

 3x • (x - 2)  = 0

Step  3  :

Theory - Roots of a product :

3.1    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 :

3.2      Solve  :    3x = 0

Divide both sides of the equation by 3:

                    x = 0

Solving a Single Variable Equation :

3.3      Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2

Two solutions were found :

x = 2

x = 0

Answer 2

Here is your answer

The angles x and (3x-6) are complementary [i.e. sum of angles is 90 degrees]

So,

x + (3x-6)= 90

$=>x + 3x-6= 90$

$=> 4x= 90-6= 84$

$=> x= \frac{84}{4}$

$=> x= 21$

Now,

x (3x-6)

= 21 (3×21-6)

= 21 (63-6)

= 21× 57

= 1197

HOPE IT IS USEFUL