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Simplifying (2x2 + 3x + 8) + -1(x2 + 5x + -1) = 0 Reorder the terms: (8 + 3x + 2x2) + -1(x2 + 5x + -1) = 0 Remove parenthesis around (8 + 3x + 2x2) 8 + 3x + 2x2 + -1(x2 + 5x + -1) = 0 Reorder the terms: 8 + 3x + 2x2 + -1(-1 + 5x + x2) = 0 8 + 3x + 2x2 + (-1 * -1 + 5x * -1 + x2 * -1) = 0 8 + 3x + 2x2 + (1 + -5x + -1x2) = 0 Reorder the terms: 8 + 1 + 3x + -5x + 2x2 + -1x2 = 0 Combine like terms: 8 + 1 = 9 9 + 3x + -5x + 2x2 + -1x2 = 0 Combine like terms: 3x + -5x = -2x 9 + -2x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 9 + -2x + 1x2 = 0 Solving 9 + -2x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x + x2 = 0 + -9 -2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2x + x2 = -9 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 = -9 + 1 Reorder the terms: 1 + -2x + x2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + -2x + x2 = -8 Factor a perfect square on the left side: (x + -1)(x + -1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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