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Simplifying 25x2 + 50x + 41 = 0 Reorder the terms: 41 + 50x + 25x2 = 0 Solving 41 + 50x + 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'. 1.64 + 2x + x2 = 0 Move the constant term to the right: Add '-1.64' to each side of the equation. 1.64 + 2x + -1.64 + x2 = 0 + -1.64 Reorder the terms: 1.64 + -1.64 + 2x + x2 = 0 + -1.64 Combine like terms: 1.64 + -1.64 = 0.00 0.00 + 2x + x2 = 0 + -1.64 2x + x2 = 0 + -1.64 Combine like terms: 0 + -1.64 = -1.64 2x + x2 = -1.64 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -1.64 + 1 Reorder the terms: 1 + 2x + x2 = -1.64 + 1 Combine like terms: -1.64 + 1 = -0.64 1 + 2x + x2 = -0.64 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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