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Simplifying x2 + -34x + 578 = 0 Reorder the terms: 578 + -34x + x2 = 0 Solving 578 + -34x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-578' to each side of the equation. 578 + -34x + -578 + x2 = 0 + -578 Reorder the terms: 578 + -578 + -34x + x2 = 0 + -578 Combine like terms: 578 + -578 = 0 0 + -34x + x2 = 0 + -578 -34x + x2 = 0 + -578 Combine like terms: 0 + -578 = -578 -34x + x2 = -578 The x term is -34x. Take half its coefficient (-17). Square it (289) and add it to both sides. Add '289' to each side of the equation. -34x + 289 + x2 = -578 + 289 Reorder the terms: 289 + -34x + x2 = -578 + 289 Combine like terms: -578 + 289 = -289 289 + -34x + x2 = -289 Factor a perfect square on the left side: (x + -17)(x + -17) = -289 Can't calculate square root of the right side. The solution to this equation could not be determined.
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