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Simplifying x2 + 18x + -244 = 0 Reorder the terms: -244 + 18x + x2 = 0 Solving -244 + 18x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '244' to each side of the equation. -244 + 18x + 244 + x2 = 0 + 244 Reorder the terms: -244 + 244 + 18x + x2 = 0 + 244 Combine like terms: -244 + 244 = 0 0 + 18x + x2 = 0 + 244 18x + x2 = 0 + 244 Combine like terms: 0 + 244 = 244 18x + x2 = 244 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = 244 + 81 Reorder the terms: 81 + 18x + x2 = 244 + 81 Combine like terms: 244 + 81 = 325 81 + 18x + x2 = 325 Factor a perfect square on the left side: (x + 9)(x + 9) = 325 Calculate the square root of the right side: 18.027756377 Break this problem into two subproblems by setting (x + 9) equal to 18.027756377 and -18.027756377.Subproblem 1
x + 9 = 18.027756377 Simplifying x + 9 = 18.027756377 Reorder the terms: 9 + x = 18.027756377 Solving 9 + x = 18.027756377 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 18.027756377 + -9 Combine like terms: 9 + -9 = 0 0 + x = 18.027756377 + -9 x = 18.027756377 + -9 Combine like terms: 18.027756377 + -9 = 9.027756377 x = 9.027756377 Simplifying x = 9.027756377Subproblem 2
x + 9 = -18.027756377 Simplifying x + 9 = -18.027756377 Reorder the terms: 9 + x = -18.027756377 Solving 9 + x = -18.027756377 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = -18.027756377 + -9 Combine like terms: 9 + -9 = 0 0 + x = -18.027756377 + -9 x = -18.027756377 + -9 Combine like terms: -18.027756377 + -9 = -27.027756377 x = -27.027756377 Simplifying x = -27.027756377Solution
The solution to the problem is based on the solutions from the subproblems. x = {9.027756377, -27.027756377}
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