What is the solution of wx2+49 = x+5?
0 x=13
x=-12
x = -6 or x = -3
no solution

x = 12

or

x = -2

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  -24

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -10 .

     -24    +    1    =    -23

     -12    +    2    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  2

                    x2 - 12x + 2x - 24

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

                   x • (x-12)

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

                   2 • (x-12)

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

                   (x+2)  •  (x-12)

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step-by-step explanation: