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Simplifying x2 + -882x + -98 = 0 Reorder the terms: -98 + -882x + x2 = 0 Solving -98 + -882x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '98' to each side of the equation. -98 + -882x + 98 + x2 = 0 + 98 Reorder the terms: -98 + 98 + -882x + x2 = 0 + 98 Combine like terms: -98 + 98 = 0 0 + -882x + x2 = 0 + 98 -882x + x2 = 0 + 98 Combine like terms: 0 + 98 = 98 -882x + x2 = 98 The x term is -882x. Take half its coefficient (-441). Square it (194481) and add it to both sides. Add '194481' to each side of the equation. -882x + 194481 + x2 = 98 + 194481 Reorder the terms: 194481 + -882x + x2 = 98 + 194481 Combine like terms: 98 + 194481 = 194579 194481 + -882x + x2 = 194579 Factor a perfect square on the left side: (x + -441)(x + -441) = 194579 Calculate the square root of the right side: 441.111097117 Break this problem into two subproblems by setting (x + -441) equal to 441.111097117 and -441.111097117.Subproblem 1
x + -441 = 441.111097117 Simplifying x + -441 = 441.111097117 Reorder the terms: -441 + x = 441.111097117 Solving -441 + x = 441.111097117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '441' to each side of the equation. -441 + 441 + x = 441.111097117 + 441 Combine like terms: -441 + 441 = 0 0 + x = 441.111097117 + 441 x = 441.111097117 + 441 Combine like terms: 441.111097117 + 441 = 882.111097117 x = 882.111097117 Simplifying x = 882.111097117Subproblem 2
x + -441 = -441.111097117 Simplifying x + -441 = -441.111097117 Reorder the terms: -441 + x = -441.111097117 Solving -441 + x = -441.111097117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '441' to each side of the equation. -441 + 441 + x = -441.111097117 + 441 Combine like terms: -441 + 441 = 0 0 + x = -441.111097117 + 441 x = -441.111097117 + 441 Combine like terms: -441.111097117 + 441 = -0.111097117 x = -0.111097117 Simplifying x = -0.111097117Solution
The solution to the problem is based on the solutions from the subproblems. x = {882.111097117, -0.111097117}
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