lynnmurphyjlm lynnmurphyjlm

18-04-2022
Mathematics

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Which equation is a step in solving the equation |5 − 3x| + 2 = 19? A. 5 − 3x = -17 B. |5 + 3x| = 17 C. 5 + 3x = -17 D. |5 − 3x| = -17

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KennyOliver KennyOliver

22-04-2022

Did the math for you.

[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]

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