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Simplifying x2 + 4x = 4356 Reorder the terms: 4x + x2 = 4356 Solving 4x + x2 = 4356 Solving for variable 'x'. Reorder the terms: -4356 + 4x + x2 = 4356 + -4356 Combine like terms: 4356 + -4356 = 0 -4356 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '4356' to each side of the equation. -4356 + 4x + 4356 + x2 = 0 + 4356 Reorder the terms: -4356 + 4356 + 4x + x2 = 0 + 4356 Combine like terms: -4356 + 4356 = 0 0 + 4x + x2 = 0 + 4356 4x + x2 = 0 + 4356 Combine like terms: 0 + 4356 = 4356 4x + x2 = 4356 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 4356 + 4 Reorder the terms: 4 + 4x + x2 = 4356 + 4 Combine like terms: 4356 + 4 = 4360 4 + 4x + x2 = 4360 Factor a perfect square on the left side: (x + 2)(x + 2) = 4360 Calculate the square root of the right side: 66.030296077 Break this problem into two subproblems by setting (x + 2) equal to 66.030296077 and -66.030296077.Subproblem 1
x + 2 = 66.030296077 Simplifying x + 2 = 66.030296077 Reorder the terms: 2 + x = 66.030296077 Solving 2 + x = 66.030296077 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 66.030296077 + -2 Combine like terms: 2 + -2 = 0 0 + x = 66.030296077 + -2 x = 66.030296077 + -2 Combine like terms: 66.030296077 + -2 = 64.030296077 x = 64.030296077 Simplifying x = 64.030296077Subproblem 2
x + 2 = -66.030296077 Simplifying x + 2 = -66.030296077 Reorder the terms: 2 + x = -66.030296077 Solving 2 + x = -66.030296077 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -66.030296077 + -2 Combine like terms: 2 + -2 = 0 0 + x = -66.030296077 + -2 x = -66.030296077 + -2 Combine like terms: -66.030296077 + -2 = -68.030296077 x = -68.030296077 Simplifying x = -68.030296077Solution
The solution to the problem is based on the solutions from the subproblems. x = {64.030296077, -68.030296077}
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