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Simplifying x2 + -2x + 29 = -4 Reorder the terms: 29 + -2x + x2 = -4 Solving 29 + -2x + x2 = -4 Solving for variable 'x'. Reorder the terms: 29 + 4 + -2x + x2 = -4 + 4 Combine like terms: 29 + 4 = 33 33 + -2x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 33 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + -2x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + -2x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -2x + x2 = 0 + -33 -2x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 -2x + x2 = -33 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 = -33 + 1 Reorder the terms: 1 + -2x + x2 = -33 + 1 Combine like terms: -33 + 1 = -32 1 + -2x + x2 = -32 Factor a perfect square on the left side: (x + -1)(x + -1) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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