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Simplifying x2 + 34x + 437 = 0 Reorder the terms: 437 + 34x + x2 = 0 Solving 437 + 34x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-437' to each side of the equation. 437 + 34x + -437 + x2 = 0 + -437 Reorder the terms: 437 + -437 + 34x + x2 = 0 + -437 Combine like terms: 437 + -437 = 0 0 + 34x + x2 = 0 + -437 34x + x2 = 0 + -437 Combine like terms: 0 + -437 = -437 34x + x2 = -437 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 = -437 + 289 Reorder the terms: 289 + 34x + x2 = -437 + 289 Combine like terms: -437 + 289 = -148 289 + 34x + x2 = -148 Factor a perfect square on the left side: (x + 17)(x + 17) = -148 Can't calculate square root of the right side. The solution to this equation could not be determined.
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