X = (-4x-5) (-x+5) with a smaller and larger solution

(x-5)(4x-5)=0  

Two solutions were found :

x = 5/4 = 1.250

x = 5

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (x - 5) • (4x - 5)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    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 :

2.2      Solve  :    x-5 = 0  

Add  5  to both sides of the equation :  

                     x = 5

Solving a Single Variable Equation :

2.3      Solve  :    4x-5 = 0  

Add  5  to both sides of the equation :  

                     4x = 5

Divide both sides of the equation by 4:

                    x = 5/4 = 1.250

Step-by-step explanation:

send it over

step-by-step explanation:

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis