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multiply the equation by 30 giving x^2 = 2x + 15or x^2 - 2x -15 = 0.

This factorises to (x - 5)(x + 3) giving solutions of 5 and -3.

Check it 25/30 = 5/15 + 1/2 ie 25/30 = 10/30 + 15/30.

and 9/30 = -3/15 + 1/2 ie 9/30 = -6/30 + 15/30

Both check out!

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Q: How do you solve for x in the following problem X2 over 30 equals x over 15 plus 1 over 2 the first 2 is an exponent?
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