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Simplifying x2 + 4x + -215 = 0 Reorder the terms: -215 + 4x + x2 = 0 Solving -215 + 4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '215' to each side of the equation. -215 + 4x + 215 + x2 = 0 + 215 Reorder the terms: -215 + 215 + 4x + x2 = 0 + 215 Combine like terms: -215 + 215 = 0 0 + 4x + x2 = 0 + 215 4x + x2 = 0 + 215 Combine like terms: 0 + 215 = 215 4x + x2 = 215 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 = 215 + 4 Reorder the terms: 4 + 4x + x2 = 215 + 4 Combine like terms: 215 + 4 = 219 4 + 4x + x2 = 219 Factor a perfect square on the left side: (x + 2)(x + 2) = 219 Calculate the square root of the right side: 14.798648587 Break this problem into two subproblems by setting (x + 2) equal to 14.798648587 and -14.798648587.Subproblem 1
x + 2 = 14.798648587 Simplifying x + 2 = 14.798648587 Reorder the terms: 2 + x = 14.798648587 Solving 2 + x = 14.798648587 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 = 14.798648587 + -2 Combine like terms: 2 + -2 = 0 0 + x = 14.798648587 + -2 x = 14.798648587 + -2 Combine like terms: 14.798648587 + -2 = 12.798648587 x = 12.798648587 Simplifying x = 12.798648587Subproblem 2
x + 2 = -14.798648587 Simplifying x + 2 = -14.798648587 Reorder the terms: 2 + x = -14.798648587 Solving 2 + x = -14.798648587 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 = -14.798648587 + -2 Combine like terms: 2 + -2 = 0 0 + x = -14.798648587 + -2 x = -14.798648587 + -2 Combine like terms: -14.798648587 + -2 = -16.798648587 x = -16.798648587 Simplifying x = -16.798648587Solution
The solution to the problem is based on the solutions from the subproblems. x = {12.798648587, -16.798648587}
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