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Simplifying x2 + -2x + 14 = -9 Reorder the terms: 14 + -2x + x2 = -9 Solving 14 + -2x + x2 = -9 Solving for variable 'x'. Reorder the terms: 14 + 9 + -2x + x2 = -9 + 9 Combine like terms: 14 + 9 = 23 23 + -2x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 23 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + -2x + -23 + x2 = 0 + -23 Reorder the terms: 23 + -23 + -2x + x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2x + x2 = 0 + -23 -2x + x2 = 0 + -23 Combine like terms: 0 + -23 = -23 -2x + x2 = -23 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -23 + 1 Reorder the terms: 1 + -2x + x2 = -23 + 1 Combine like terms: -23 + 1 = -22 1 + -2x + x2 = -22 Factor a perfect square on the left side: (x + -1)(x + -1) = -22 Can't calculate square root of the right side. The solution to this equation could not be determined.
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