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Simplifying x2 + -14x + 49 = -256 Reorder the terms: 49 + -14x + x2 = -256 Solving 49 + -14x + x2 = -256 Solving for variable 'x'. Reorder the terms: 49 + 256 + -14x + x2 = -256 + 256 Combine like terms: 49 + 256 = 305 305 + -14x + x2 = -256 + 256 Combine like terms: -256 + 256 = 0 305 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-305' to each side of the equation. 305 + -14x + -305 + x2 = 0 + -305 Reorder the terms: 305 + -305 + -14x + x2 = 0 + -305 Combine like terms: 305 + -305 = 0 0 + -14x + x2 = 0 + -305 -14x + x2 = 0 + -305 Combine like terms: 0 + -305 = -305 -14x + x2 = -305 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -305 + 49 Reorder the terms: 49 + -14x + x2 = -305 + 49 Combine like terms: -305 + 49 = -256 49 + -14x + x2 = -256 Factor a perfect square on the left side: (x + -7)(x + -7) = -256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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