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Simplifying 0.25x2 + -2x + 10 = 0 Reorder the terms: 10 + -2x + 0.25x2 = 0 Solving 10 + -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'. 40 + -8x + x2 = 0 Move the constant term to the right: Add '-40' to each side of the equation. 40 + -8x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -8x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8x + x2 = 0 + -40 -8x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -8x + x2 = -40 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 = -40 + 16 Reorder the terms: 16 + -8x + x2 = -40 + 16 Combine like terms: -40 + 16 = -24 16 + -8x + x2 = -24 Factor a perfect square on the left side: (x + -4)(x + -4) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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