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Simplifying 4x2 + 25x + 95 = 0 Reorder the terms: 95 + 25x + 4x2 = 0 Solving 95 + 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'. 23.75 + 6.25x + x2 = 0 Move the constant term to the right: Add '-23.75' to each side of the equation. 23.75 + 6.25x + -23.75 + x2 = 0 + -23.75 Reorder the terms: 23.75 + -23.75 + 6.25x + x2 = 0 + -23.75 Combine like terms: 23.75 + -23.75 = 0.00 0.00 + 6.25x + x2 = 0 + -23.75 6.25x + x2 = 0 + -23.75 Combine like terms: 0 + -23.75 = -23.75 6.25x + x2 = -23.75 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 = -23.75 + 9.765625 Reorder the terms: 9.765625 + 6.25x + x2 = -23.75 + 9.765625 Combine like terms: -23.75 + 9.765625 = -13.984375 9.765625 + 6.25x + x2 = -13.984375 Factor a perfect square on the left side: (x + 3.125)(x + 3.125) = -13.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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