# Math

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Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
17x3 − x + 3 = x3 + 24x2 + x

• Math -

17x3 − x + 3 = x3 + 24x2 + x
Transpose to put it in standard polynomial form.
16x³-24x²-2x+3=0
Try to factor by noting that
16:-24 is the same as -2:3
so (2x-3) is a factor
Regroup as:
8x²(2x-3)-(2x-3)=0
(8x²-1)(2x-3)=0
Can you take it from here?

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