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Create a list of steps, in order, that will solve the following equation.

(x+3)^(2)-1=35
Solution steps:
Add 1 to both sides
Add 3 to both sides
Subtract 1 from both sides
Subtract 3 from both sides
Take the square root of both sides

Create a list of steps, in order, that will solve the following equation.\newline(x+3)21=35(x+3)^{2}-1=35\newlineSolution steps:\newline- Add 11 to both sides\newline- Add 33 to both sides\newline- Subtract 11 from both sides\newline- Subtract 33 from both sides\newline- Take the square root of both sides

Full solution

Q. Create a list of steps, in order, that will solve the following equation.\newline(x+3)21=35(x+3)^{2}-1=35\newlineSolution steps:\newline- Add 11 to both sides\newline- Add 33 to both sides\newline- Subtract 11 from both sides\newline- Subtract 33 from both sides\newline- Take the square root of both sides
  1. Add 11 to isolate squared term: Add 11 to both sides to isolate the squared term.\newlineWe have (x+3)21=35(x+3)^{2} - 1 = 35. By adding 11 to both sides, we get (x+3)2=36(x+3)^{2} = 36.
  2. Take square root to solve: Take the square root of both sides to solve for x+3x+3. Taking the square root of both sides, we get x+3=±36x+3 = \pm\sqrt{36}. The square root of 3636 is 66, so we have x+3=±6x+3 = \pm6.
  3. Subtract 33 to find x: Subtract 33 from both sides to solve for x.\newlineWe have x+3=±6x+3 = \pm 6. By subtracting 33 from both sides, we get x=±63x = \pm 6 - 3. This gives us two possible solutions: x=63x = 6 - 3 or x=63x = -6 - 3.

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