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Simplifying x2 + 50x + -63 = 0 Reorder the terms: -63 + 50x + x2 = 0 Solving -63 + 50x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '63' to each side of the equation. -63 + 50x + 63 + x2 = 0 + 63 Reorder the terms: -63 + 63 + 50x + x2 = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 50x + x2 = 0 + 63 50x + x2 = 0 + 63 Combine like terms: 0 + 63 = 63 50x + x2 = 63 The x term is 50x. Take half its coefficient (25). Square it (625) and add it to both sides. Add '625' to each side of the equation. 50x + 625 + x2 = 63 + 625 Reorder the terms: 625 + 50x + x2 = 63 + 625 Combine like terms: 63 + 625 = 688 625 + 50x + x2 = 688 Factor a perfect square on the left side: (x + 25)(x + 25) = 688 Calculate the square root of the right side: 26.229754097 Break this problem into two subproblems by setting (x + 25) equal to 26.229754097 and -26.229754097.Subproblem 1
x + 25 = 26.229754097 Simplifying x + 25 = 26.229754097 Reorder the terms: 25 + x = 26.229754097 Solving 25 + x = 26.229754097 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 26.229754097 + -25 Combine like terms: 25 + -25 = 0 0 + x = 26.229754097 + -25 x = 26.229754097 + -25 Combine like terms: 26.229754097 + -25 = 1.229754097 x = 1.229754097 Simplifying x = 1.229754097Subproblem 2
x + 25 = -26.229754097 Simplifying x + 25 = -26.229754097 Reorder the terms: 25 + x = -26.229754097 Solving 25 + x = -26.229754097 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = -26.229754097 + -25 Combine like terms: 25 + -25 = 0 0 + x = -26.229754097 + -25 x = -26.229754097 + -25 Combine like terms: -26.229754097 + -25 = -51.229754097 x = -51.229754097 Simplifying x = -51.229754097Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.229754097, -51.229754097}
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