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Simplifying x2 + 73x + -2 = 0 Reorder the terms: -2 + 73x + x2 = 0 Solving -2 + 73x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '2' to each side of the equation. -2 + 73x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 73x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 73x + x2 = 0 + 2 73x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 73x + x2 = 2 The x term is 73x. Take half its coefficient (36.5). Square it (1332.25) and add it to both sides. Add '1332.25' to each side of the equation. 73x + 1332.25 + x2 = 2 + 1332.25 Reorder the terms: 1332.25 + 73x + x2 = 2 + 1332.25 Combine like terms: 2 + 1332.25 = 1334.25 1332.25 + 73x + x2 = 1334.25 Factor a perfect square on the left side: (x + 36.5)(x + 36.5) = 1334.25 Calculate the square root of the right side: 36.527386986 Break this problem into two subproblems by setting (x + 36.5) equal to 36.527386986 and -36.527386986.Subproblem 1
x + 36.5 = 36.527386986 Simplifying x + 36.5 = 36.527386986 Reorder the terms: 36.5 + x = 36.527386986 Solving 36.5 + x = 36.527386986 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36.5' to each side of the equation. 36.5 + -36.5 + x = 36.527386986 + -36.5 Combine like terms: 36.5 + -36.5 = 0.0 0.0 + x = 36.527386986 + -36.5 x = 36.527386986 + -36.5 Combine like terms: 36.527386986 + -36.5 = 0.027386986 x = 0.027386986 Simplifying x = 0.027386986Subproblem 2
x + 36.5 = -36.527386986 Simplifying x + 36.5 = -36.527386986 Reorder the terms: 36.5 + x = -36.527386986 Solving 36.5 + x = -36.527386986 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36.5' to each side of the equation. 36.5 + -36.5 + x = -36.527386986 + -36.5 Combine like terms: 36.5 + -36.5 = 0.0 0.0 + x = -36.527386986 + -36.5 x = -36.527386986 + -36.5 Combine like terms: -36.527386986 + -36.5 = -73.027386986 x = -73.027386986 Simplifying x = -73.027386986Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.027386986, -73.027386986}
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