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Simplifying x2 + -56x + -720 = 0 Reorder the terms: -720 + -56x + x2 = 0 Solving -720 + -56x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '720' to each side of the equation. -720 + -56x + 720 + x2 = 0 + 720 Reorder the terms: -720 + 720 + -56x + x2 = 0 + 720 Combine like terms: -720 + 720 = 0 0 + -56x + x2 = 0 + 720 -56x + x2 = 0 + 720 Combine like terms: 0 + 720 = 720 -56x + x2 = 720 The x term is -56x. Take half its coefficient (-28). Square it (784) and add it to both sides. Add '784' to each side of the equation. -56x + 784 + x2 = 720 + 784 Reorder the terms: 784 + -56x + x2 = 720 + 784 Combine like terms: 720 + 784 = 1504 784 + -56x + x2 = 1504 Factor a perfect square on the left side: (x + -28)(x + -28) = 1504 Calculate the square root of the right side: 38.781438859 Break this problem into two subproblems by setting (x + -28) equal to 38.781438859 and -38.781438859.Subproblem 1
x + -28 = 38.781438859 Simplifying x + -28 = 38.781438859 Reorder the terms: -28 + x = 38.781438859 Solving -28 + x = 38.781438859 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x = 38.781438859 + 28 Combine like terms: -28 + 28 = 0 0 + x = 38.781438859 + 28 x = 38.781438859 + 28 Combine like terms: 38.781438859 + 28 = 66.781438859 x = 66.781438859 Simplifying x = 66.781438859Subproblem 2
x + -28 = -38.781438859 Simplifying x + -28 = -38.781438859 Reorder the terms: -28 + x = -38.781438859 Solving -28 + x = -38.781438859 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x = -38.781438859 + 28 Combine like terms: -28 + 28 = 0 0 + x = -38.781438859 + 28 x = -38.781438859 + 28 Combine like terms: -38.781438859 + 28 = -10.781438859 x = -10.781438859 Simplifying x = -10.781438859Solution
The solution to the problem is based on the solutions from the subproblems. x = {66.781438859, -10.781438859}
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