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Simplifying -0.2X2 + 0.4X = 10 Reorder the terms: 0.4X + -0.2X2 = 10 Solving 0.4X + -0.2X2 = 10 Solving for variable 'X'. Reorder the terms: -10 + 0.4X + -0.2X2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 0.4X + -0.2X2 = 0 Begin completing the square. Divide all terms by -0.2 the coefficient of the squared term: Divide each side by '-0.2'. 50 + -2X + X2 = 0 Move the constant term to the right: Add '-50' to each side of the equation. 50 + -2X + -50 + X2 = 0 + -50 Reorder the terms: 50 + -50 + -2X + X2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -2X + X2 = 0 + -50 -2X + X2 = 0 + -50 Combine like terms: 0 + -50 = -50 -2X + X2 = -50 The X term is -2X. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2X + 1 + X2 = -50 + 1 Reorder the terms: 1 + -2X + X2 = -50 + 1 Combine like terms: -50 + 1 = -49 1 + -2X + X2 = -49 Factor a perfect square on the left side: (X + -1)(X + -1) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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