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.
Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$.
x2 – 5x + 4 = –x2 – 25x – 14
2x2 + 20x + 18 = 0
x2 + 10x + 9 = 0
(x + 1)(x + 9) = 0
x + 1 = 0 ====>> x = –1
x + 9 = 0 ====>> x = –9
x = –1 , –9
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