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Simplifying 0 = 10x + -1x2 + -27 Reorder the terms: 0 = -27 + 10x + -1x2 Solving 0 = -27 + 10x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 27 = 27 27 + -10x + x2 = -27 + 10x + -1x2 + 27 + -10x + x2 Reorder the terms: 27 + -10x + x2 = -27 + 27 + 10x + -10x + -1x2 + x2 Combine like terms: -27 + 27 = 0 27 + -10x + x2 = 0 + 10x + -10x + -1x2 + x2 27 + -10x + x2 = 10x + -10x + -1x2 + x2 Combine like terms: 10x + -10x = 0 27 + -10x + x2 = 0 + -1x2 + x2 27 + -10x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 27 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -10x + -27 + x2 = 0 + -27 Reorder the terms: 27 + -27 + -10x + x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10x + x2 = 0 + -27 -10x + x2 = 0 + -27 Combine like terms: 0 + -27 = -27 -10x + x2 = -27 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -27 + 25 Reorder the terms: 25 + -10x + x2 = -27 + 25 Combine like terms: -27 + 25 = -2 25 + -10x + x2 = -2 Factor a perfect square on the left side: (x + -5)(x + -5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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