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

5(x-3)^(2)+4=129
Solution steps:
Add 3 to both sides
Add 4 to both sides
Divide both sides by 5
Subtract 3 from both sides
Subtract 4 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.\newline5(x3)2+4=1295(x-3)^{2}+4=129\newlineSolution steps:\newline- Add 33 to both sides\newline- Add 44 to both sides\newline- Divide both sides by 55\newline- Subtract 33 from both sides\newline- Subtract 44 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.\newline5(x3)2+4=1295(x-3)^{2}+4=129\newlineSolution steps:\newline- Add 33 to both sides\newline- Add 44 to both sides\newline- Divide both sides by 55\newline- Subtract 33 from both sides\newline- Subtract 44 from both sides\newline- Square both sides\newline- Take the square root of both sides
  1. Isolate the variable term: Subtract 44 from both sides of the equation to isolate the term with the variable.\newline5(x3)2+44=12945(x-3)^2 + 4 - 4 = 129 - 4\newline5(x3)2=1255(x-3)^2 = 125
  2. Further isolate the squared term: Divide both sides by 55 to further isolate the squared term.5(x3)25=1255\frac{5(x-3)^2}{5} = \frac{125}{5}(x3)2=25(x-3)^2 = 25
  3. Solve for the term containing the variable: Take the square root of both sides to solve for the term containing the variable.\newline(x3)2=±25\sqrt{(x-3)^2} = \pm\sqrt{25}\newlinex3=±5x - 3 = \pm5
  4. Solve for x: Add 33 to both sides to solve for x.x3+3=±5+3x - 3 + 3 = \pm5 + 3x=8x = 8 or x=2x = -2

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