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For what value of x is the expression (5)/(6-2x) undefined?

For what value of x x is the expression 56−2x \frac{5}{6-2 x} undefined?

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Full solution

Q. For what value of x x is the expression 56−2x \frac{5}{6-2 x} undefined?
  1. Identify Condition: Identify the condition for the expression to be undefined.\newlineAn expression of the form (a)/(b)(a)/(b) is undefined when the denominator bb equals 00.
  2. Set Denominator: Set the denominator of the expression equal to zero and solve for xx. The denominator is (6−2x)(6 - 2x). To find when the expression is undefined, set the denominator equal to zero: 6−2x=06 - 2x = 0
  3. Solve Equation: Solve the equation for xx.\newlineSubtract 66 from both sides of the equation:\newline−2x=−6-2x = -6
  4. Isolate x: Divide both sides by −2-2 to isolate x.\newlinex=−6−2x = \frac{-6}{-2}
  5. Calculate Value: Calculate the value of xx.x=3x = 3

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