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Solve for 
x :

sqrt(8x+33)-18=-17
Answer:

Solve for x \mathrm{x} :\newline8x+3318=17 \sqrt{8 x+33}-18=-17 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline8x+3318=17 \sqrt{8 x+33}-18=-17 \newlineAnswer:
  1. Add 1818: Add 1818 to both sides of the equation to isolate the square root on one side.\newline8x+3318+18=17+18\sqrt{8x + 33} - 18 + 18 = -17 + 18\newline8x+33=1\sqrt{8x + 33} = 1
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(8x+33)2=12(\sqrt{8x + 33})^2 = 1^2\newline8x+33=18x + 33 = 1
  3. Subtract 3333: Subtract 3333 from both sides of the equation to isolate the term with the variable xx.\newline8x+3333=1338x + 33 - 33 = 1 - 33\newline8x=328x = -32
  4. Divide by 88: Divide both sides of the equation by 88 to solve for xx.8x8=328\frac{8x}{8} = \frac{-32}{8}x=4x = -4

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