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Simplifying x2 + -2x + -19 = -51 Reorder the terms: -19 + -2x + x2 = -51 Solving -19 + -2x + x2 = -51 Solving for variable 'x'. Reorder the terms: -19 + 51 + -2x + x2 = -51 + 51 Combine like terms: -19 + 51 = 32 32 + -2x + x2 = -51 + 51 Combine like terms: -51 + 51 = 0 32 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + -2x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + -2x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -2x + x2 = 0 + -32 -2x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 -2x + x2 = -32 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 = -32 + 1 Reorder the terms: 1 + -2x + x2 = -32 + 1 Combine like terms: -32 + 1 = -31 1 + -2x + x2 = -31 Factor a perfect square on the left side: (x + -1)(x + -1) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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