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

2(x+(3)/(4))^(2)-5=123
Solution steps:
Add 2 to both sides
Add 5 to both sides
Divide both sides by 2
Multiply both sides by 2
Subtract 5 from both sides
Subtract 
(3)/(4) from both sides

Create a list of steps, in order, that will solve the following equation.\newline2(x+34)25=1232(x+\frac{3}{4})^{2}-5=123\newlineSolution steps:\newlineAdd 22 to both sides\newlineAdd 55 to both sides\newlineDivide both sides by 22\newlineMultiply both sides by 22\newlineSubtract 55 from both sides\newlineSubtract \newline34\frac{3}{4} from both sides

Full solution

Q. Create a list of steps, in order, that will solve the following equation.\newline2(x+34)25=1232(x+\frac{3}{4})^{2}-5=123\newlineSolution steps:\newlineAdd 22 to both sides\newlineAdd 55 to both sides\newlineDivide both sides by 22\newlineMultiply both sides by 22\newlineSubtract 55 from both sides\newlineSubtract \newline34\frac{3}{4} from both sides
  1. Isolate quadratic term: Add 55 to both sides of the equation to isolate the quadratic term.\newline2(x+(34))25+5=123+52(x+(\frac{3}{4}))^2 - 5 + 5 = 123 + 5\newline2(x+(34))2=1282(x+(\frac{3}{4}))^2 = 128
  2. Solve for squared term: Divide both sides by 22 to solve for the squared term.2(x+(34))22=1282\frac{2(x+(\frac{3}{4}))^2}{2} = \frac{128}{2}(x+(34))2=64(x+(\frac{3}{4}))^2 = 64
  3. Solve for x+34x + \frac{3}{4}: Take the square root of both sides to solve for x+34x + \frac{3}{4}.\newline(x+34)2=±64\sqrt{\left(x+\frac{3}{4}\right)^2} = \pm\sqrt{64}\newlinex+34=±8x + \frac{3}{4} = \pm8
  4. Solve for x: Subtract (34)(\frac{3}{4}) from both sides to solve for x.\newlinex+(34)(34)=±8(34)x + \left(\frac{3}{4}\right) - \left(\frac{3}{4}\right) = \pm8 - \left(\frac{3}{4}\right)\newlinex=±8(34)x = \pm8 - \left(\frac{3}{4}\right)
  5. Simplify solutions: Simplify the right side of the equation for both positive and negative solutions.\newlineFor the positive solution:\newlinex=834x = 8 - \frac{3}{4}\newlinex=80.75x = 8 - 0.75\newlinex=7.25x = 7.25\newlineFor the negative solution:\newlinex=834x = -8 - \frac{3}{4}\newlinex=80.75x = -8 - 0.75\newlinex=8.75x = -8.75

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