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Simplifying 25x2 + -50x + 169 = 0 Reorder the terms: 169 + -50x + 25x2 = 0 Solving 169 + -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'. 6.76 + -2x + x2 = 0 Move the constant term to the right: Add '-6.76' to each side of the equation. 6.76 + -2x + -6.76 + x2 = 0 + -6.76 Reorder the terms: 6.76 + -6.76 + -2x + x2 = 0 + -6.76 Combine like terms: 6.76 + -6.76 = 0.00 0.00 + -2x + x2 = 0 + -6.76 -2x + x2 = 0 + -6.76 Combine like terms: 0 + -6.76 = -6.76 -2x + x2 = -6.76 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 = -6.76 + 1 Reorder the terms: 1 + -2x + x2 = -6.76 + 1 Combine like terms: -6.76 + 1 = -5.76 1 + -2x + x2 = -5.76 Factor a perfect square on the left side: (x + -1)(x + -1) = -5.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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