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Simplifying x2 + -14x + 49 = -45 Reorder the terms: 49 + -14x + x2 = -45 Solving 49 + -14x + x2 = -45 Solving for variable 'x'. Reorder the terms: 49 + 45 + -14x + x2 = -45 + 45 Combine like terms: 49 + 45 = 94 94 + -14x + x2 = -45 + 45 Combine like terms: -45 + 45 = 0 94 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-94' to each side of the equation. 94 + -14x + -94 + x2 = 0 + -94 Reorder the terms: 94 + -94 + -14x + x2 = 0 + -94 Combine like terms: 94 + -94 = 0 0 + -14x + x2 = 0 + -94 -14x + x2 = 0 + -94 Combine like terms: 0 + -94 = -94 -14x + x2 = -94 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 = -94 + 49 Reorder the terms: 49 + -14x + x2 = -94 + 49 Combine like terms: -94 + 49 = -45 49 + -14x + x2 = -45 Factor a perfect square on the left side: (x + -7)(x + -7) = -45 Can't calculate square root of the right side. The solution to this equation could not be determined.
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