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Simplifying 0.2x2 + 0.1x + 0.7 = 0 Reorder the terms: 0.7 + 0.1x + 0.2x2 = 0 Solving 0.7 + 0.1x + 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'. 3.5 + 0.5x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 0.5x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 0.5x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.5x + x2 = 0 + -3.5 0.5x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 0.5x + x2 = -3.5 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -3.5 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -3.5 + 0.0625 Combine like terms: -3.5 + 0.0625 = -3.4375 0.0625 + 0.5x + x2 = -3.4375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -3.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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