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Simplifying x2 + -14x + 9 = -60 Reorder the terms: 9 + -14x + x2 = -60 Solving 9 + -14x + x2 = -60 Solving for variable 'x'. Reorder the terms: 9 + 60 + -14x + x2 = -60 + 60 Combine like terms: 9 + 60 = 69 69 + -14x + x2 = -60 + 60 Combine like terms: -60 + 60 = 0 69 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-69' to each side of the equation. 69 + -14x + -69 + x2 = 0 + -69 Reorder the terms: 69 + -69 + -14x + x2 = 0 + -69 Combine like terms: 69 + -69 = 0 0 + -14x + x2 = 0 + -69 -14x + x2 = 0 + -69 Combine like terms: 0 + -69 = -69 -14x + x2 = -69 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 = -69 + 49 Reorder the terms: 49 + -14x + x2 = -69 + 49 Combine like terms: -69 + 49 = -20 49 + -14x + x2 = -20 Factor a perfect square on the left side: (x + -7)(x + -7) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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