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Simplifying 25x2 + 8x + 80 = 0 Reorder the terms: 80 + 8x + 25x2 = 0 Solving 80 + 8x + 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'. 3.2 + 0.32x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + 0.32x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + 0.32x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.32x + x2 = 0 + -3.2 0.32x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 0.32x + x2 = -3.2 The x term is 0.32x. Take half its coefficient (0.16). Square it (0.0256) and add it to both sides. Add '0.0256' to each side of the equation. 0.32x + 0.0256 + x2 = -3.2 + 0.0256 Reorder the terms: 0.0256 + 0.32x + x2 = -3.2 + 0.0256 Combine like terms: -3.2 + 0.0256 = -3.1744 0.0256 + 0.32x + x2 = -3.1744 Factor a perfect square on the left side: (x + 0.16)(x + 0.16) = -3.1744 Can't calculate square root of the right side. The solution to this equation could not be determined.
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