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Answer:
1. Factoring: (x - 7)(x + 6).
2. Solving for x: x = -6 and x = 7
Step-by-step explanation:
I'm not exactly sure what your question is so I'll assume it's either this:
1. Factor [tex]x^{2} - x - 42[/tex]
2. Solve for x in the equation [tex]x^{2} - x - 42 = 0[/tex]
1. Factoring
[tex]x^{2} - x - 42[/tex]
(x - 7)(x + 6) is the answer.
The way I factored it was by finding a pair of numbers that product is -42 and has a sum of -1.
2. Solving for x
[tex]x^{2} - x - 42 = 0[/tex]
(x - 7)(x + 6) = 0
a. x - 7 = 0
x = 7
b. x + 6 = 0
x = -6
Answers: x = -6, x = 7
Hope this answered your question! <3