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Simplifying x2 + 12x + -888 = 0 Reorder the terms: -888 + 12x + x2 = 0 Solving -888 + 12x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '888' to each side of the equation. -888 + 12x + 888 + x2 = 0 + 888 Reorder the terms: -888 + 888 + 12x + x2 = 0 + 888 Combine like terms: -888 + 888 = 0 0 + 12x + x2 = 0 + 888 12x + x2 = 0 + 888 Combine like terms: 0 + 888 = 888 12x + x2 = 888 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 = 888 + 36 Reorder the terms: 36 + 12x + x2 = 888 + 36 Combine like terms: 888 + 36 = 924 36 + 12x + x2 = 924 Factor a perfect square on the left side: (x + 6)(x + 6) = 924 Calculate the square root of the right side: 30.397368307 Break this problem into two subproblems by setting (x + 6) equal to 30.397368307 and -30.397368307.Subproblem 1
x + 6 = 30.397368307 Simplifying x + 6 = 30.397368307 Reorder the terms: 6 + x = 30.397368307 Solving 6 + x = 30.397368307 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 = 30.397368307 + -6 Combine like terms: 6 + -6 = 0 0 + x = 30.397368307 + -6 x = 30.397368307 + -6 Combine like terms: 30.397368307 + -6 = 24.397368307 x = 24.397368307 Simplifying x = 24.397368307Subproblem 2
x + 6 = -30.397368307 Simplifying x + 6 = -30.397368307 Reorder the terms: 6 + x = -30.397368307 Solving 6 + x = -30.397368307 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 = -30.397368307 + -6 Combine like terms: 6 + -6 = 0 0 + x = -30.397368307 + -6 x = -30.397368307 + -6 Combine like terms: -30.397368307 + -6 = -36.397368307 x = -36.397368307 Simplifying x = -36.397368307Solution
The solution to the problem is based on the solutions from the subproblems. x = {24.397368307, -36.397368307}
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