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Simplifying x2 + 4x + -544 = 0 Reorder the terms: -544 + 4x + x2 = 0 Solving -544 + 4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '544' to each side of the equation. -544 + 4x + 544 + x2 = 0 + 544 Reorder the terms: -544 + 544 + 4x + x2 = 0 + 544 Combine like terms: -544 + 544 = 0 0 + 4x + x2 = 0 + 544 4x + x2 = 0 + 544 Combine like terms: 0 + 544 = 544 4x + x2 = 544 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 = 544 + 4 Reorder the terms: 4 + 4x + x2 = 544 + 4 Combine like terms: 544 + 4 = 548 4 + 4x + x2 = 548 Factor a perfect square on the left side: (x + 2)(x + 2) = 548 Calculate the square root of the right side: 23.409399821 Break this problem into two subproblems by setting (x + 2) equal to 23.409399821 and -23.409399821.Subproblem 1
x + 2 = 23.409399821 Simplifying x + 2 = 23.409399821 Reorder the terms: 2 + x = 23.409399821 Solving 2 + x = 23.409399821 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 = 23.409399821 + -2 Combine like terms: 2 + -2 = 0 0 + x = 23.409399821 + -2 x = 23.409399821 + -2 Combine like terms: 23.409399821 + -2 = 21.409399821 x = 21.409399821 Simplifying x = 21.409399821Subproblem 2
x + 2 = -23.409399821 Simplifying x + 2 = -23.409399821 Reorder the terms: 2 + x = -23.409399821 Solving 2 + x = -23.409399821 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 = -23.409399821 + -2 Combine like terms: 2 + -2 = 0 0 + x = -23.409399821 + -2 x = -23.409399821 + -2 Combine like terms: -23.409399821 + -2 = -25.409399821 x = -25.409399821 Simplifying x = -25.409399821Solution
The solution to the problem is based on the solutions from the subproblems. x = {21.409399821, -25.409399821}
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