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Solve for 
x :

sqrt(6x+19)-15=-10
Answer:

Solve for x \mathrm{x} :\newline6x+1915=10 \sqrt{6 x+19}-15=-10 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline6x+1915=10 \sqrt{6 x+19}-15=-10 \newlineAnswer:
  1. Add 1515: Add 1515 to both sides of the equation to isolate the square root term.\newline6x+1915+15=10+15\sqrt{6x + 19} - 15 + 15 = -10 + 15\newline6x+19=5\sqrt{6x + 19} = 5
  2. Square both sides: Square both sides of the equation to eliminate the square root.\newline(6x+19)2=52(\sqrt{6x + 19})^2 = 5^2\newline6x+19=256x + 19 = 25
  3. Subtract 1919: Subtract 1919 from both sides of the equation to isolate the term with the variable xx.\newline6x+1919=25196x + 19 - 19 = 25 - 19\newline6x=66x = 6
  4. Divide by 66: Divide both sides of the equation by 66 to solve for xx.6x6=66\frac{6x}{6} = \frac{6}{6}x=1x = 1

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