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Simplifying (x + 12) + (5x2 + 8) = 16 Reorder the terms: (12 + x) + (5x2 + 8) = 16 Remove parenthesis around (12 + x) 12 + x + (5x2 + 8) = 16 Reorder the terms: 12 + x + (8 + 5x2) = 16 Remove parenthesis around (8 + 5x2) 12 + x + 8 + 5x2 = 16 Reorder the terms: 12 + 8 + x + 5x2 = 16 Combine like terms: 12 + 8 = 20 20 + x + 5x2 = 16 Solving 20 + x + 5x2 = 16 Solving for variable 'x'. Reorder the terms: 20 + -16 + x + 5x2 = 16 + -16 Combine like terms: 20 + -16 = 4 4 + x + 5x2 = 16 + -16 Combine like terms: 16 + -16 = 0 4 + x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.2x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.2x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.2x + x2 = 0 + -0.8 0.2x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.2x + x2 = -0.8 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.2x + 0.25 + x2 = -0.8 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -0.8 + 0.25 Combine like terms: -0.8 + 0.25 = -0.55 0.25 + 0.2x + x2 = -0.55 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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