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Simplifying 1.64 = 0.5x + -0.2x2 Solving 1.64 = 0.5x + -0.2x2 Solving for variable 'x'. Reorder the terms: 1.64 + -0.5x + 0.2x2 = 0.5x + -0.5x + -0.2x2 + 0.2x2 Combine like terms: 0.5x + -0.5x = 0.0 1.64 + -0.5x + 0.2x2 = 0.0 + -0.2x2 + 0.2x2 1.64 + -0.5x + 0.2x2 = -0.2x2 + 0.2x2 Combine like terms: -0.2x2 + 0.2x2 = 0.0 1.64 + -0.5x + 0.2x2 = 0.0 Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 8.2 + -2.5x + x2 = 0 Move the constant term to the right: Add '-8.2' to each side of the equation. 8.2 + -2.5x + -8.2 + x2 = 0 + -8.2 Reorder the terms: 8.2 + -8.2 + -2.5x + x2 = 0 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -2.5x + x2 = 0 + -8.2 -2.5x + x2 = 0 + -8.2 Combine like terms: 0 + -8.2 = -8.2 -2.5x + x2 = -8.2 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -8.2 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -8.2 + 1.5625 Combine like terms: -8.2 + 1.5625 = -6.6375 1.5625 + -2.5x + x2 = -6.6375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -6.6375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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