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Simplifying 25x2 + 6x + 17 = 0 Reorder the terms: 17 + 6x + 25x2 = 0 Solving 17 + 6x + 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'. 0.68 + 0.24x + x2 = 0 Move the constant term to the right: Add '-0.68' to each side of the equation. 0.68 + 0.24x + -0.68 + x2 = 0 + -0.68 Reorder the terms: 0.68 + -0.68 + 0.24x + x2 = 0 + -0.68 Combine like terms: 0.68 + -0.68 = 0.00 0.00 + 0.24x + x2 = 0 + -0.68 0.24x + x2 = 0 + -0.68 Combine like terms: 0 + -0.68 = -0.68 0.24x + x2 = -0.68 The x term is 0.24x. Take half its coefficient (0.12). Square it (0.0144) and add it to both sides. Add '0.0144' to each side of the equation. 0.24x + 0.0144 + x2 = -0.68 + 0.0144 Reorder the terms: 0.0144 + 0.24x + x2 = -0.68 + 0.0144 Combine like terms: -0.68 + 0.0144 = -0.6656 0.0144 + 0.24x + x2 = -0.6656 Factor a perfect square on the left side: (x + 0.12)(x + 0.12) = -0.6656 Can't calculate square root of the right side. The solution to this equation could not be determined.
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