How do you solve #15/x15/(x2)= 2#?
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To solve the equation 15/x  15/(x2) = 2, you can follow these steps:

Find a common denominator for the fractions on the left side of the equation. The common denominator is x(x2).

Multiply each term by the common denominator to eliminate the fractions. This gives you: 15(x2)  15x = 2x(x2).

Simplify both sides of the equation by distributing and combining like terms. This results in: 15x  30  15x = 2x^2 + 4x.

Combine like terms on both sides of the equation. The x terms cancel out, leaving you with: 30 = 2x^2 + 4x.

Rearrange the equation to bring all terms to one side, setting it equal to zero: 2x^2 + 4x + 30 = 0.

To solve this quadratic equation, you can either factor it or use the quadratic formula. In this case, factoring is not possible, so we'll use the quadratic formula: x = (b ± √(b^2  4ac)) / (2a).

Substitute the values from the equation into the quadratic formula: x = (4 ± √(4^2  4(2)(30))) / (2(2)).

Simplify the equation inside the square root: x = (4 ± √(16 + 240)) / (4).

Further simplify: x = (4 ± √256) / (4).

Take the square root of 256: x = (4 ± 16) / (4).

Simplify the equation: x = (12 or 4).
Therefore, the solutions to the equation 15/x  15/(x2) = 2 are x = 12 and x = 4.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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