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Simplifying 0.25x2 + 2x + 6 = 0 Reorder the terms: 6 + 2x + 0.25x2 = 0 Solving 6 + 2x + 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'. 24 + 8x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + 8x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + 8x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8x + x2 = 0 + -24 8x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 8x + x2 = -24 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -24 + 16 Reorder the terms: 16 + 8x + x2 = -24 + 16 Combine like terms: -24 + 16 = -8 16 + 8x + x2 = -8 Factor a perfect square on the left side: (x + 4)(x + 4) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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