Solve for x 2x-8/x=0

Problem

2*x−8/x=0

Solution

1. Identify the domain of the equation by noting that the denominator x cannot be zero, so x≠0

2. Multiply every term in the equation by x to eliminate the fraction.

x*(2*x)−x(8/x)=x(0)

3. Simplify the resulting expression to form a quadratic equation.

2*x2−8=0

4. Isolate the x2 term by adding 8 to both sides and then dividing by 2

2*x2=8

x2=4

5. Solve for x by taking the square root of both sides, remembering to include both the positive and negative roots.

x=±√(,4)

x=2,x=−2

Final Answer

x=±2

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