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Here is the problem: 4/(x squared minus 4) equals 1/(x minus 2).

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A quadratic equation in x: solve with the quadratic formula.

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Start with the equation.

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Multiply both sides by x ^ 3 -2 cdot x ^ 2 -4 cdot x plus 8 to clear the fractions. This is only valid where x ^ 3 minus 2 times x ^ 2 minus 4 times x plus 8 not equal to 0, so any value that makes it zero is excluded at the end.

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Move every term to one side to get standard form.

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Compute the discriminant.

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delta equals 0, so there is one repeated real root.

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Apply the quadratic formula.

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Factored form.

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Remove extraneous roots. x equals 2 makes a denominator zero and is rejected.

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So the answer is No solution.

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The quadratic formula gives every solution of ax squared plus bx plus c equals 0.