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Simplifying x2 + 18x + -704 = 0 Reorder the terms: -704 + 18x + x2 = 0 Solving -704 + 18x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '704' to each side of the equation. -704 + 18x + 704 + x2 = 0 + 704 Reorder the terms: -704 + 704 + 18x + x2 = 0 + 704 Combine like terms: -704 + 704 = 0 0 + 18x + x2 = 0 + 704 18x + x2 = 0 + 704 Combine like terms: 0 + 704 = 704 18x + x2 = 704 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 = 704 + 81 Reorder the terms: 81 + 18x + x2 = 704 + 81 Combine like terms: 704 + 81 = 785 81 + 18x + x2 = 785 Factor a perfect square on the left side: (x + 9)(x + 9) = 785 Calculate the square root of the right side: 28.017851452 Break this problem into two subproblems by setting (x + 9) equal to 28.017851452 and -28.017851452.Subproblem 1
x + 9 = 28.017851452 Simplifying x + 9 = 28.017851452 Reorder the terms: 9 + x = 28.017851452 Solving 9 + x = 28.017851452 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 = 28.017851452 + -9 Combine like terms: 9 + -9 = 0 0 + x = 28.017851452 + -9 x = 28.017851452 + -9 Combine like terms: 28.017851452 + -9 = 19.017851452 x = 19.017851452 Simplifying x = 19.017851452Subproblem 2
x + 9 = -28.017851452 Simplifying x + 9 = -28.017851452 Reorder the terms: 9 + x = -28.017851452 Solving 9 + x = -28.017851452 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 = -28.017851452 + -9 Combine like terms: 9 + -9 = 0 0 + x = -28.017851452 + -9 x = -28.017851452 + -9 Combine like terms: -28.017851452 + -9 = -37.017851452 x = -37.017851452 Simplifying x = -37.017851452Solution
The solution to the problem is based on the solutions from the subproblems. x = {19.017851452, -37.017851452}
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