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

(1)/(2)(x+5)^(2)+2=42.5
Solution steps:
Add 2 to both sides
Multiply both sides by 2
Multiply both sides by 
(1)/(2)
Subtract 2 from both sides
Subtract 5 from both sides
Square both sides
Take the

Create a list of steps, in order, that will solve the following equation.\newline12(x+5)2+2=42.5\frac{1}{2}(x+5)^{2}+2=42.5\newlineSolution steps:\newline- Add 22 to both sides\newline- Multiply both sides by 22\newline- Multiply both sides by 12\frac{1}{2}\newline- Subtract 22 from both sides\newline- Subtract 55 from both sides\newline- Square both sides\newline- Take the

Full solution

Q. Create a list of steps, in order, that will solve the following equation.\newline12(x+5)2+2=42.5\frac{1}{2}(x+5)^{2}+2=42.5\newlineSolution steps:\newline- Add 22 to both sides\newline- Multiply both sides by 22\newline- Multiply both sides by 12\frac{1}{2}\newline- Subtract 22 from both sides\newline- Subtract 55 from both sides\newline- Square both sides\newline- Take the
  1. Isolate the variable: Step 11: Subtract 22 from both sides to isolate the term with the variable.\newline(12)(x+5)2+22=42.52(\frac{1}{2})(x+5)^{2} + 2 - 2 = 42.5 - 2\newline(12)(x+5)2=40.5(\frac{1}{2})(x+5)^{2} = 40.5
  2. Eliminate the fraction: Step 22: Multiply both sides by 22 to eliminate the fraction.\newline2×12(x+5)2=40.5×22 \times \frac{1}{2}(x+5)^{2} = 40.5 \times 2\newline(x+5)2=81(x+5)^{2} = 81
  3. Solve for x+5x+5: Step 33: Take the square root of both sides to solve for x+5x+5.(x+5)2=±81\sqrt{(x+5)^{2}} = \pm \sqrt{81}x+5=±9x + 5 = \pm 9
  4. Solve for x: Step 44: Subtract 55 from both sides to solve for x.\newlinex + 55 - 55 = \pm 99 - 55\newlinex = 44 or x = 14-14
  5. Final answer: Step 55: Write the final answer with the solutions in order from least to greatest.\newlineThe solutions are x=14x = -14 and x=4x = 4.

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