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Solve for 
x :

sqrt(7x+72)+11=15
Answer:

Solve for x \mathrm{x} :\newline7x+72+11=15 \sqrt{7 x+72}+11=15 \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} :\newline7x+72+11=15 \sqrt{7 x+72}+11=15 \newlineAnswer:
  1. Isolate Square Root: Isolate the square root on one side of the equation.\newlineSubtract 1111 from both sides of the equation to isolate the square root.\newline7x+72+1111=1511\sqrt{7x + 72} + 11 - 11 = 15 - 11\newline7x+72=4\sqrt{7x + 72} = 4
  2. Square Both Sides: Square both sides of the equation to eliminate the square root.\newline(7x+72)2=42(\sqrt{7x + 72})^2 = 4^2\newline7x+72=167x + 72 = 16
  3. Isolate Variable: Isolate the variable on one side of the equation to solve for xx. Subtract 7272 from both sides of the equation. 7x+7272=16727x + 72 - 72 = 16 - 72 7x=567x = -56
  4. Divide by 77: Divide both sides of the equation by 77 to solve for xx.7x7=567\frac{7x}{7} = \frac{-56}{7}x=8x = -8

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