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Simplifying 5 = -1x2 + 2x + -9 Reorder the terms: 5 = -9 + 2x + -1x2 Solving 5 = -9 + 2x + -1x2 Solving for variable 'x'. Combine like terms: 5 + 9 = 14 14 + -2x + x2 = -9 + 2x + -1x2 + 9 + -2x + x2 Reorder the terms: 14 + -2x + x2 = -9 + 9 + 2x + -2x + -1x2 + x2 Combine like terms: -9 + 9 = 0 14 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 14 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 14 + -2x + x2 = 0 + -1x2 + x2 14 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 14 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -2x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -2x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x + x2 = 0 + -14 -2x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -2x + x2 = -14 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 = -14 + 1 Reorder the terms: 1 + -2x + x2 = -14 + 1 Combine like terms: -14 + 1 = -13 1 + -2x + x2 = -13 Factor a perfect square on the left side: (x + -1)(x + -1) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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