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Simplifying x2 + -133x + -3555 = 0 Reorder the terms: -3555 + -133x + x2 = 0 Solving -3555 + -133x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '3555' to each side of the equation. -3555 + -133x + 3555 + x2 = 0 + 3555 Reorder the terms: -3555 + 3555 + -133x + x2 = 0 + 3555 Combine like terms: -3555 + 3555 = 0 0 + -133x + x2 = 0 + 3555 -133x + x2 = 0 + 3555 Combine like terms: 0 + 3555 = 3555 -133x + x2 = 3555 The x term is -133x. Take half its coefficient (-66.5). Square it (4422.25) and add it to both sides. Add '4422.25' to each side of the equation. -133x + 4422.25 + x2 = 3555 + 4422.25 Reorder the terms: 4422.25 + -133x + x2 = 3555 + 4422.25 Combine like terms: 3555 + 4422.25 = 7977.25 4422.25 + -133x + x2 = 7977.25 Factor a perfect square on the left side: (x + -66.5)(x + -66.5) = 7977.25 Calculate the square root of the right side: 89.315452191 Break this problem into two subproblems by setting (x + -66.5) equal to 89.315452191 and -89.315452191.Subproblem 1
x + -66.5 = 89.315452191 Simplifying x + -66.5 = 89.315452191 Reorder the terms: -66.5 + x = 89.315452191 Solving -66.5 + x = 89.315452191 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66.5' to each side of the equation. -66.5 + 66.5 + x = 89.315452191 + 66.5 Combine like terms: -66.5 + 66.5 = 0.0 0.0 + x = 89.315452191 + 66.5 x = 89.315452191 + 66.5 Combine like terms: 89.315452191 + 66.5 = 155.815452191 x = 155.815452191 Simplifying x = 155.815452191Subproblem 2
x + -66.5 = -89.315452191 Simplifying x + -66.5 = -89.315452191 Reorder the terms: -66.5 + x = -89.315452191 Solving -66.5 + x = -89.315452191 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66.5' to each side of the equation. -66.5 + 66.5 + x = -89.315452191 + 66.5 Combine like terms: -66.5 + 66.5 = 0.0 0.0 + x = -89.315452191 + 66.5 x = -89.315452191 + 66.5 Combine like terms: -89.315452191 + 66.5 = -22.815452191 x = -22.815452191 Simplifying x = -22.815452191Solution
The solution to the problem is based on the solutions from the subproblems. x = {155.815452191, -22.815452191}
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