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Simplifying 0.25x2 + 3x + 16 = 0 Reorder the terms: 16 + 3x + 0.25x2 = 0 Solving 16 + 3x + 0.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 64 + 12x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + 12x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + 12x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 12x + x2 = 0 + -64 12x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 12x + x2 = -64 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -64 + 36 Reorder the terms: 36 + 12x + x2 = -64 + 36 Combine like terms: -64 + 36 = -28 36 + 12x + x2 = -28 Factor a perfect square on the left side: (x + 6)(x + 6) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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