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Solve for 
x :

sqrt(2x+41)-17=-12
Answer:

Solve for x \mathrm{x} :\newline2x+4117=12 \sqrt{2 x+41}-17=-12 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline2x+4117=12 \sqrt{2 x+41}-17=-12 \newlineAnswer:
  1. Add 1717 to isolate: Add 1717 to both sides of the equation to isolate the square root on one side.\newline2x+4117+17=12+17\sqrt{2x + 41} - 17 + 17 = -12 + 17\newline2x+41=5\sqrt{2x + 41} = 5
  2. Square to eliminate square root: Square both sides of the equation to eliminate the square root.\newline(2x+41)2=52(\sqrt{2x + 41})^2 = 5^2\newline2x+41=252x + 41 = 25
  3. Subtract 4141 to solve: Subtract 4141 from both sides of the equation to solve for 2x2x.\newline2x+4141=25412x + 41 - 41 = 25 - 41\newline2x=162x = -16
  4. Divide to find xx: Divide both sides by 22 to solve for xx.
    2x2=162\frac{2x}{2} = \frac{-16}{2}
    x=8x = -8

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