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Simplifying x2 + 4x + -87 = 0 Reorder the terms: -87 + 4x + x2 = 0 Solving -87 + 4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '87' to each side of the equation. -87 + 4x + 87 + x2 = 0 + 87 Reorder the terms: -87 + 87 + 4x + x2 = 0 + 87 Combine like terms: -87 + 87 = 0 0 + 4x + x2 = 0 + 87 4x + x2 = 0 + 87 Combine like terms: 0 + 87 = 87 4x + x2 = 87 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 87 + 4 Reorder the terms: 4 + 4x + x2 = 87 + 4 Combine like terms: 87 + 4 = 91 4 + 4x + x2 = 91 Factor a perfect square on the left side: (x + 2)(x + 2) = 91 Calculate the square root of the right side: 9.539392014 Break this problem into two subproblems by setting (x + 2) equal to 9.539392014 and -9.539392014.Subproblem 1
x + 2 = 9.539392014 Simplifying x + 2 = 9.539392014 Reorder the terms: 2 + x = 9.539392014 Solving 2 + x = 9.539392014 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 9.539392014 + -2 Combine like terms: 2 + -2 = 0 0 + x = 9.539392014 + -2 x = 9.539392014 + -2 Combine like terms: 9.539392014 + -2 = 7.539392014 x = 7.539392014 Simplifying x = 7.539392014Subproblem 2
x + 2 = -9.539392014 Simplifying x + 2 = -9.539392014 Reorder the terms: 2 + x = -9.539392014 Solving 2 + x = -9.539392014 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -9.539392014 + -2 Combine like terms: 2 + -2 = 0 0 + x = -9.539392014 + -2 x = -9.539392014 + -2 Combine like terms: -9.539392014 + -2 = -11.539392014 x = -11.539392014 Simplifying x = -11.539392014Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.539392014, -11.539392014}
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