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Find all values of x such that x^2 - 5x + 4 = -x^2 - 25x - 14. If you find more than one value, then list your solutions, separated by commas.

 
 Jan 7, 2025
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Taking everything to the left side, we get $2x^2+20x+18=0$. To simplify the equation more, we can divide both sides by $2$ and get $x^2+10x+9=0$ Then, we can factor the quadratic and get $(x+9)(x+1)=0$, so the solutions to the equation are $x=9,-1$
 Jan 7, 2025

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