M<2=56+x what’s the value for x

Step-by-step explanation:

x=7

x=−8 Factoring  x2+x-56  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +x  its coefficient is  1 .

The last term, "the constant", is  -56  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -56 = -56  

Step-2 : Find two factors of  -56  whose sum equals the coefficient of the middle term, which is   1 .

     -56    +    1    =    -55  

     -28    +    2    =    -26  

     -14    +    4    =    -10  

     -8    +    7    =    -1  

     -7    +    8    =    1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  8  

                    x2 - 7x + 8x - 56

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   8 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x+8)  •  (x-7)

            Which is the desired factorization

Equation at the end of step

1

:

 (x + 8) • (x - 7)  = 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+8 = 0  

Subtract  8  from both sides of the equation :  

                     x = -8

Solving a Single Variable Equation:

2.3      Solve  :    x-7 = 0  

Add  7  to both sides of the equation :  

                     x = 7