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Solve for 
x.
Enter the solutions from least to greatest.

{:[(x+6)(-x+1)=0],[" lesser "x=◻],[" greater "x=◻]:}

Solve for x x .\newlineEnter the solutions from least to greatest.\newline(x+6)(x+1)=0 (x+6)(-x+1)=0 \newlinelesser x= x= \newlinegreater x= x=

Full solution

Q. Solve for x x .\newlineEnter the solutions from least to greatest.\newline(x+6)(x+1)=0 (x+6)(-x+1)=0 \newlinelesser x= x= \newlinegreater x= x=
  1. Factored Polynomial: Factored polynomial: (x+6)(x+1)(x + 6)(-x + 1)\newlineWhich equation finds the roots for this polynomial?\newlineSet the polynomial equal to zero.\newline(x+6)(x+1)=0(x + 6)(-x + 1) = 0
  2. First Root: First root: x+6=0x + 6 = 0
    What is the value of xx?
    x+6=0x + 6 = 0
    x+66=06x + 6 - 6 = 0 - 6
    x=6x = -6
  3. Second Root: Second root: x+1=0-x + 1 = 0\newlineWhat is the value of xx?\newlinex+1=0-x + 1 = 0\newlinex+11=01-x + 1 - 1 = 0 - 1\newlinex=1-x = -1\newlinex=1x = 1 (Multiplying both sides by 1-1)
  4. Ascending Order of Roots: We have found two roots:\newlinex = 6-6\newlinex = 11\newlineNow we need to write the roots in ascending order.\newlineRoots of the polynomial: 6-6, 11

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