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Simplifying x2 + -6x + -915 = 0 Reorder the terms: -915 + -6x + x2 = 0 Solving -915 + -6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '915' to each side of the equation. -915 + -6x + 915 + x2 = 0 + 915 Reorder the terms: -915 + 915 + -6x + x2 = 0 + 915 Combine like terms: -915 + 915 = 0 0 + -6x + x2 = 0 + 915 -6x + x2 = 0 + 915 Combine like terms: 0 + 915 = 915 -6x + x2 = 915 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = 915 + 9 Reorder the terms: 9 + -6x + x2 = 915 + 9 Combine like terms: 915 + 9 = 924 9 + -6x + x2 = 924 Factor a perfect square on the left side: (x + -3)(x + -3) = 924 Calculate the square root of the right side: 30.397368307 Break this problem into two subproblems by setting (x + -3) equal to 30.397368307 and -30.397368307.Subproblem 1
x + -3 = 30.397368307 Simplifying x + -3 = 30.397368307 Reorder the terms: -3 + x = 30.397368307 Solving -3 + x = 30.397368307 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 30.397368307 + 3 Combine like terms: -3 + 3 = 0 0 + x = 30.397368307 + 3 x = 30.397368307 + 3 Combine like terms: 30.397368307 + 3 = 33.397368307 x = 33.397368307 Simplifying x = 33.397368307Subproblem 2
x + -3 = -30.397368307 Simplifying x + -3 = -30.397368307 Reorder the terms: -3 + x = -30.397368307 Solving -3 + x = -30.397368307 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = -30.397368307 + 3 Combine like terms: -3 + 3 = 0 0 + x = -30.397368307 + 3 x = -30.397368307 + 3 Combine like terms: -30.397368307 + 3 = -27.397368307 x = -27.397368307 Simplifying x = -27.397368307Solution
The solution to the problem is based on the solutions from the subproblems. x = {33.397368307, -27.397368307}
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