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Simplifying x2 + -14x + 49 = -14 Reorder the terms: 49 + -14x + x2 = -14 Solving 49 + -14x + x2 = -14 Solving for variable 'x'. Reorder the terms: 49 + 14 + -14x + x2 = -14 + 14 Combine like terms: 49 + 14 = 63 63 + -14x + x2 = -14 + 14 Combine like terms: -14 + 14 = 0 63 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-63' to each side of the equation. 63 + -14x + -63 + x2 = 0 + -63 Reorder the terms: 63 + -63 + -14x + x2 = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -14x + x2 = 0 + -63 -14x + x2 = 0 + -63 Combine like terms: 0 + -63 = -63 -14x + x2 = -63 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 = -63 + 49 Reorder the terms: 49 + -14x + x2 = -63 + 49 Combine like terms: -63 + 49 = -14 49 + -14x + x2 = -14 Factor a perfect square on the left side: (x + -7)(x + -7) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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