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Simplifying 8x2 + -21x + 50 = 0 Reorder the terms: 50 + -21x + 8x2 = 0 Solving 50 + -21x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 6.25 + -2.625x + x2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -2.625x + -6.25 + x2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -2.625x + x2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -2.625x + x2 = 0 + -6.25 -2.625x + x2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -2.625x + x2 = -6.25 The x term is -2.625x. Take half its coefficient (-1.3125). Square it (1.72265625) and add it to both sides. Add '1.72265625' to each side of the equation. -2.625x + 1.72265625 + x2 = -6.25 + 1.72265625 Reorder the terms: 1.72265625 + -2.625x + x2 = -6.25 + 1.72265625 Combine like terms: -6.25 + 1.72265625 = -4.52734375 1.72265625 + -2.625x + x2 = -4.52734375 Factor a perfect square on the left side: (x + -1.3125)(x + -1.3125) = -4.52734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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