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Simplifying x2 + -3x + 7 + x + 52 = 0 Reorder the terms: 7 + 52 + -3x + x + x2 = 0 Combine like terms: 7 + 52 = 59 59 + -3x + x + x2 = 0 Combine like terms: -3x + x = -2x 59 + -2x + x2 = 0 Solving 59 + -2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-59' to each side of the equation. 59 + -2x + -59 + x2 = 0 + -59 Reorder the terms: 59 + -59 + -2x + x2 = 0 + -59 Combine like terms: 59 + -59 = 0 0 + -2x + x2 = 0 + -59 -2x + x2 = 0 + -59 Combine like terms: 0 + -59 = -59 -2x + x2 = -59 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 = -59 + 1 Reorder the terms: 1 + -2x + x2 = -59 + 1 Combine like terms: -59 + 1 = -58 1 + -2x + x2 = -58 Factor a perfect square on the left side: (x + -1)(x + -1) = -58 Can't calculate square root of the right side. The solution to this equation could not be determined.
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