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problem 9: find all the values for x that will make this expression equ…

Question

problem 9:
find all the values for x that will make this expression equal to 0.

(x - 1)(x - 6)

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x = and
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Explanation:

Step1: Set the expression to zero

We have the equation \((x - 1)(x - 6)=0\).

Step2: Apply the zero - product property

The zero - product property states that if \(ab = 0\), then either \(a = 0\) or \(b = 0\) (or both). So, we set each factor equal to zero:

  • For \(x - 1=0\), we solve for \(x\) by adding 1 to both sides of the equation. We get \(x=1\).
  • For \(x - 6=0\), we solve for \(x\) by adding 6 to both sides of the equation. We get \(x = 6\).

Answer:

\(x = 1\) and \(x = 6\)