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Simplifying x2 + 880x + -10 = 0 Reorder the terms: -10 + 880x + x2 = 0 Solving -10 + 880x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '10' to each side of the equation. -10 + 880x + 10 + x2 = 0 + 10 Reorder the terms: -10 + 10 + 880x + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 880x + x2 = 0 + 10 880x + x2 = 0 + 10 Combine like terms: 0 + 10 = 10 880x + x2 = 10 The x term is 880x. Take half its coefficient (440). Square it (193600) and add it to both sides. Add '193600' to each side of the equation. 880x + 193600 + x2 = 10 + 193600 Reorder the terms: 193600 + 880x + x2 = 10 + 193600 Combine like terms: 10 + 193600 = 193610 193600 + 880x + x2 = 193610 Factor a perfect square on the left side: (x + 440)(x + 440) = 193610 Calculate the square root of the right side: 440.01136349 Break this problem into two subproblems by setting (x + 440) equal to 440.01136349 and -440.01136349.Subproblem 1
x + 440 = 440.01136349 Simplifying x + 440 = 440.01136349 Reorder the terms: 440 + x = 440.01136349 Solving 440 + x = 440.01136349 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-440' to each side of the equation. 440 + -440 + x = 440.01136349 + -440 Combine like terms: 440 + -440 = 0 0 + x = 440.01136349 + -440 x = 440.01136349 + -440 Combine like terms: 440.01136349 + -440 = 0.01136349 x = 0.01136349 Simplifying x = 0.01136349Subproblem 2
x + 440 = -440.01136349 Simplifying x + 440 = -440.01136349 Reorder the terms: 440 + x = -440.01136349 Solving 440 + x = -440.01136349 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-440' to each side of the equation. 440 + -440 + x = -440.01136349 + -440 Combine like terms: 440 + -440 = 0 0 + x = -440.01136349 + -440 x = -440.01136349 + -440 Combine like terms: -440.01136349 + -440 = -880.01136349 x = -880.01136349 Simplifying x = -880.01136349Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.01136349, -880.01136349}
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