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Simplifying (x2 + 5) + -1(2x + -8) = 0 Reorder the terms: (5 + x2) + -1(2x + -8) = 0 Remove parenthesis around (5 + x2) 5 + x2 + -1(2x + -8) = 0 Reorder the terms: 5 + x2 + -1(-8 + 2x) = 0 5 + x2 + (-8 * -1 + 2x * -1) = 0 5 + x2 + (8 + -2x) = 0 Reorder the terms: 5 + 8 + -2x + x2 = 0 Combine like terms: 5 + 8 = 13 13 + -2x + x2 = 0 Solving 13 + -2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -2x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -2x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x + x2 = 0 + -13 -2x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -2x + x2 = -13 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 = -13 + 1 Reorder the terms: 1 + -2x + x2 = -13 + 1 Combine like terms: -13 + 1 = -12 1 + -2x + x2 = -12 Factor a perfect square on the left side: (x + -1)(x + -1) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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