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Simplifying 25x2 + -41x + 25 = 0 Reorder the terms: 25 + -41x + 25x2 = 0 Solving 25 + -41x + 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 + -1.64x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.64x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.64x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.64x + x2 = 0 + -1 -1.64x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.64x + x2 = -1 The x term is -1.64x. Take half its coefficient (-0.82). Square it (0.6724) and add it to both sides. Add '0.6724' to each side of the equation. -1.64x + 0.6724 + x2 = -1 + 0.6724 Reorder the terms: 0.6724 + -1.64x + x2 = -1 + 0.6724 Combine like terms: -1 + 0.6724 = -0.3276 0.6724 + -1.64x + x2 = -0.3276 Factor a perfect square on the left side: (x + -0.82)(x + -0.82) = -0.3276 Can't calculate square root of the right side. The solution to this equation could not be determined.
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