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

3(x+1)^(2)=108
Solution steps:
Add 1 to both sides
Divide both sides by 3
Multiply both sides by 3
Subtract 1 from both sides
Square both sides
Take the square root of both sides

Create a list of steps, in order, that will solve the following equation.\newline3(x+1)2=1083(x+1)^{2}=108\newlineSolution steps:\newline- Add 11 to both sides\newline- Divide both sides by 33\newline- Multiply both sides by 33\newline- Subtract 11 from both sides\newline- Square 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.\newline3(x+1)2=1083(x+1)^{2}=108\newlineSolution steps:\newline- Add 11 to both sides\newline- Divide both sides by 33\newline- Multiply both sides by 33\newline- Subtract 11 from both sides\newline- Square both sides\newline- Take the square root of both sides
  1. Divide and isolate squared term: Divide both sides by 33 to isolate the squared term.\newlineCalculation: 3(x+1)23=1083\frac{3(x+1)^2}{3} = \frac{108}{3}\newlineThis simplifies to (x+1)2=36(x+1)^2 = 36.
  2. Take square root to solve for x+1x+1: Take the square root of both sides to solve for x+1x+1.\newlineCalculation: (x+1)2=±36\sqrt{(x+1)^2} = \pm\sqrt{36}\newlineThis simplifies to x+1=±6x+1 = \pm6.
  3. Subtract 11 to solve for x: Subtract 11 from both sides to solve for x.\newlineCalculation: x+11=±61x+1 - 1 = \pm 6 - 1\newlineThis simplifies to x=±61x = \pm 6 - 1.
  4. Calculate possible values for x: Calculate the two possible values for x.\newlineCalculation: x=61x = 6 - 1 and x=61x = -6 - 1\newlineThis simplifies to x=5x = 5 and x=7x = -7.

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