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A reaction has delta G= +21.5 kj/mol, delta H= +25.0 kj/mol, and delta S= +15.0 j/mol*k can become spontaneous at a temperature of ? k.

The answer is 1670. How did they get that. What I did was isolate T and i got 233k. How would I go about answering this question.

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I get 233 also if I plug in the numbers. What you have done is to solve for T for the conditions listed. What yo want to do is to set delta G = 0 (which is equilibrium point and anything negative is spontaneous).
0 = 25-T(0.015).
T = 1666 K which I would round to 1670 K.
Check my thinking.
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