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Simplifying x2 + -120x + -2 = 0 Reorder the terms: -2 + -120x + x2 = 0 Solving -2 + -120x + 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 + -120x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + -120x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -120x + x2 = 0 + 2 -120x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -120x + x2 = 2 The x term is -120x. Take half its coefficient (-60). Square it (3600) and add it to both sides. Add '3600' to each side of the equation. -120x + 3600 + x2 = 2 + 3600 Reorder the terms: 3600 + -120x + x2 = 2 + 3600 Combine like terms: 2 + 3600 = 3602 3600 + -120x + x2 = 3602 Factor a perfect square on the left side: (x + -60)(x + -60) = 3602 Calculate the square root of the right side: 60.016664352 Break this problem into two subproblems by setting (x + -60) equal to 60.016664352 and -60.016664352.Subproblem 1
x + -60 = 60.016664352 Simplifying x + -60 = 60.016664352 Reorder the terms: -60 + x = 60.016664352 Solving -60 + x = 60.016664352 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + x = 60.016664352 + 60 Combine like terms: -60 + 60 = 0 0 + x = 60.016664352 + 60 x = 60.016664352 + 60 Combine like terms: 60.016664352 + 60 = 120.016664352 x = 120.016664352 Simplifying x = 120.016664352Subproblem 2
x + -60 = -60.016664352 Simplifying x + -60 = -60.016664352 Reorder the terms: -60 + x = -60.016664352 Solving -60 + x = -60.016664352 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + x = -60.016664352 + 60 Combine like terms: -60 + 60 = 0 0 + x = -60.016664352 + 60 x = -60.016664352 + 60 Combine like terms: -60.016664352 + 60 = -0.016664352 x = -0.016664352 Simplifying x = -0.016664352Solution
The solution to the problem is based on the solutions from the subproblems. x = {120.016664352, -0.016664352}
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