Question

X^2-4x-5x=0 - 5x = 0" alt="x {2} - 4x - 5x = 0" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

x = 9 or x = 0

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 4 x - 5 x = 0

x^2 - 4 x - 5 x = x^2 - 9 x:

x^2 - 9 x = 0

Factor x from the left hand side:

x (x - 9) = 0

Split into two equations:

x - 9 = 0 or x = 0

Add 9 to both sides:

Answer: x = 9 or x = 0

Answer 2

Answer:

x = 9

or

x = 0

Step-by-step explanation:

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  x2 - 9x  =   x • (x - 9)  

Equation at the end of step  2  :

 x • (x - 9)  = 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  :    x = 0  

 Solution is  x = 0

Solving a Single Variable Equation :

3.3      Solve  :    x-9 = 0  

Add  9  to both sides of the equation :  

                     x = 9