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Simplifying 25x2 + 17x + 5 = 0 Reorder the terms: 5 + 17x + 25x2 = 0 Solving 5 + 17x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.2 + 0.68x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + 0.68x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + 0.68x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.68x + x2 = 0 + -0.2 0.68x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 0.68x + x2 = -0.2 The x term is 0.68x. Take half its coefficient (0.34). Square it (0.1156) and add it to both sides. Add '0.1156' to each side of the equation. 0.68x + 0.1156 + x2 = -0.2 + 0.1156 Reorder the terms: 0.1156 + 0.68x + x2 = -0.2 + 0.1156 Combine like terms: -0.2 + 0.1156 = -0.0844 0.1156 + 0.68x + x2 = -0.0844 Factor a perfect square on the left side: (x + 0.34)(x + 0.34) = -0.0844 Can't calculate square root of the right side. The solution to this equation could not be determined.
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