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Simplifying 25x2 + 6x + 8 = 0 Reorder the terms: 8 + 6x + 25x2 = 0 Solving 8 + 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'. 0.32 + 0.24x + x2 = 0 Move the constant term to the right: Add '-0.32' to each side of the equation. 0.32 + 0.24x + -0.32 + x2 = 0 + -0.32 Reorder the terms: 0.32 + -0.32 + 0.24x + x2 = 0 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + 0.24x + x2 = 0 + -0.32 0.24x + x2 = 0 + -0.32 Combine like terms: 0 + -0.32 = -0.32 0.24x + x2 = -0.32 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 = -0.32 + 0.0144 Reorder the terms: 0.0144 + 0.24x + x2 = -0.32 + 0.0144 Combine like terms: -0.32 + 0.0144 = -0.3056 0.0144 + 0.24x + x2 = -0.3056 Factor a perfect square on the left side: (x + 0.12)(x + 0.12) = -0.3056 Can't calculate square root of the right side. The solution to this equation could not be determined.
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