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Simplifying x2 + -18x + -8845 = 0 Reorder the terms: -8845 + -18x + x2 = 0 Solving -8845 + -18x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '8845' to each side of the equation. -8845 + -18x + 8845 + x2 = 0 + 8845 Reorder the terms: -8845 + 8845 + -18x + x2 = 0 + 8845 Combine like terms: -8845 + 8845 = 0 0 + -18x + x2 = 0 + 8845 -18x + x2 = 0 + 8845 Combine like terms: 0 + 8845 = 8845 -18x + x2 = 8845 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 = 8845 + 81 Reorder the terms: 81 + -18x + x2 = 8845 + 81 Combine like terms: 8845 + 81 = 8926 81 + -18x + x2 = 8926 Factor a perfect square on the left side: (x + -9)(x + -9) = 8926 Calculate the square root of the right side: 94.477510551 Break this problem into two subproblems by setting (x + -9) equal to 94.477510551 and -94.477510551.Subproblem 1
x + -9 = 94.477510551 Simplifying x + -9 = 94.477510551 Reorder the terms: -9 + x = 94.477510551 Solving -9 + x = 94.477510551 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 = 94.477510551 + 9 Combine like terms: -9 + 9 = 0 0 + x = 94.477510551 + 9 x = 94.477510551 + 9 Combine like terms: 94.477510551 + 9 = 103.477510551 x = 103.477510551 Simplifying x = 103.477510551Subproblem 2
x + -9 = -94.477510551 Simplifying x + -9 = -94.477510551 Reorder the terms: -9 + x = -94.477510551 Solving -9 + x = -94.477510551 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 = -94.477510551 + 9 Combine like terms: -9 + 9 = 0 0 + x = -94.477510551 + 9 x = -94.477510551 + 9 Combine like terms: -94.477510551 + 9 = -85.477510551 x = -85.477510551 Simplifying x = -85.477510551Solution
The solution to the problem is based on the solutions from the subproblems. x = {103.477510551, -85.477510551}
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