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Simplifying x2 + 12x + -7200 = 0 Reorder the terms: -7200 + 12x + x2 = 0 Solving -7200 + 12x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '7200' to each side of the equation. -7200 + 12x + 7200 + x2 = 0 + 7200 Reorder the terms: -7200 + 7200 + 12x + x2 = 0 + 7200 Combine like terms: -7200 + 7200 = 0 0 + 12x + x2 = 0 + 7200 12x + x2 = 0 + 7200 Combine like terms: 0 + 7200 = 7200 12x + x2 = 7200 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = 7200 + 36 Reorder the terms: 36 + 12x + x2 = 7200 + 36 Combine like terms: 7200 + 36 = 7236 36 + 12x + x2 = 7236 Factor a perfect square on the left side: (x + 6)(x + 6) = 7236 Calculate the square root of the right side: 85.064681273 Break this problem into two subproblems by setting (x + 6) equal to 85.064681273 and -85.064681273.Subproblem 1
x + 6 = 85.064681273 Simplifying x + 6 = 85.064681273 Reorder the terms: 6 + x = 85.064681273 Solving 6 + x = 85.064681273 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 85.064681273 + -6 Combine like terms: 6 + -6 = 0 0 + x = 85.064681273 + -6 x = 85.064681273 + -6 Combine like terms: 85.064681273 + -6 = 79.064681273 x = 79.064681273 Simplifying x = 79.064681273Subproblem 2
x + 6 = -85.064681273 Simplifying x + 6 = -85.064681273 Reorder the terms: 6 + x = -85.064681273 Solving 6 + x = -85.064681273 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = -85.064681273 + -6 Combine like terms: 6 + -6 = 0 0 + x = -85.064681273 + -6 x = -85.064681273 + -6 Combine like terms: -85.064681273 + -6 = -91.064681273 x = -91.064681273 Simplifying x = -91.064681273Solution
The solution to the problem is based on the solutions from the subproblems. x = {79.064681273, -91.064681273}
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