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Solve for x : sqrt(8x+12)-16=-10 Answer:

Solve for x \mathrm{x} :\newline8x+12−16=−10 \sqrt{8 x+12}-16=-10 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} :\newline8x+12−16=−10 \sqrt{8 x+12}-16=-10 \newlineAnswer:
  1. Add 1616: Add 1616 to both sides of the equation to isolate the square root on one side.\newline8x+12−16+16=−10+16\sqrt{8x + 12} - 16 + 16 = -10 + 16\newline8x+12=6\sqrt{8x + 12} = 6
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(8x+12)2=62(\sqrt{8x + 12})^2 = 6^2\newline8x+12=368x + 12 = 36
  3. Subtract 1212: Subtract 1212 from both sides of the equation to isolate the term with the variable xx.\newline8x+12−12=36−128x + 12 - 12 = 36 - 12\newline8x=248x = 24
  4. Divide by 88: Divide both sides of the equation by 88 to solve for x.\newline8x8=248\frac{8x}{8} = \frac{24}{8}\newlinex=3x = 3

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