Solve By Factoring And Using The Principle Of Zero Products. Show Work (x + 6)(x - 1) = 18 Can Some One Show Me The Steps I Am Lost At This One?

2 Answers

Fangju Fangju Profile
Fangju Fangju answered

(x + 6)(x - 1) = 18

The answer is X=-8或x=3
Oddman Profile
Oddman answered
You need to multiply out the left side, subtract 18, then factor the result.
  (x+6)(x-1) = 18
  x^2 - x + 6x - 6 = 18    (multiply out the left side. You can use the FOIL method, if you are comfortable with that. Otherwise, just make use of the distributive property.)
  x^2 + 5x - 24 = 0    (subtract 18 from both sides)
  x^2 + 8x - 3x - 24 = 0    (we need factors of 24 whose difference is 5. 3 and 8 will do.)
  x(x+8) - 3(x+8) = 0    (factor the first two terms and the last two terms)
  (x-3)(x+8) = 0    (factor out the common factor from the above result)

The solution to this is the set of values for x that will make these factors zero. They are
  x = 3,  x = -8.

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