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Simplifying 4x2 + 25x + 81 = 0 Reorder the terms: 81 + 25x + 4x2 = 0 Solving 81 + 25x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 20.25 + 6.25x + x2 = 0 Move the constant term to the right: Add '-20.25' to each side of the equation. 20.25 + 6.25x + -20.25 + x2 = 0 + -20.25 Reorder the terms: 20.25 + -20.25 + 6.25x + x2 = 0 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + 6.25x + x2 = 0 + -20.25 6.25x + x2 = 0 + -20.25 Combine like terms: 0 + -20.25 = -20.25 6.25x + x2 = -20.25 The x term is 6.25x. Take half its coefficient (3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. 6.25x + 9.765625 + x2 = -20.25 + 9.765625 Reorder the terms: 9.765625 + 6.25x + x2 = -20.25 + 9.765625 Combine like terms: -20.25 + 9.765625 = -10.484375 9.765625 + 6.25x + x2 = -10.484375 Factor a perfect square on the left side: (x + 3.125)(x + 3.125) = -10.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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