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Simplifying 0.2x2 + -1.5x + 2.9 = 0 Reorder the terms: 2.9 + -1.5x + 0.2x2 = 0 Solving 2.9 + -1.5x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 14.5 + -7.5x + x2 = 0 Move the constant term to the right: Add '-14.5' to each side of the equation. 14.5 + -7.5x + -14.5 + x2 = 0 + -14.5 Reorder the terms: 14.5 + -14.5 + -7.5x + x2 = 0 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -7.5x + x2 = 0 + -14.5 -7.5x + x2 = 0 + -14.5 Combine like terms: 0 + -14.5 = -14.5 -7.5x + x2 = -14.5 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -14.5 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -14.5 + 14.0625 Combine like terms: -14.5 + 14.0625 = -0.4375 14.0625 + -7.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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