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Simplifying 77x2 + 75x + 50 = 0 Reorder the terms: 50 + 75x + 77x2 = 0 Solving 50 + 75x + 77x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 77 the coefficient of the squared term: Divide each side by '77'. 0.6493506494 + 0.974025974x + x2 = 0 Move the constant term to the right: Add '-0.6493506494' to each side of the equation. 0.6493506494 + 0.974025974x + -0.6493506494 + x2 = 0 + -0.6493506494 Reorder the terms: 0.6493506494 + -0.6493506494 + 0.974025974x + x2 = 0 + -0.6493506494 Combine like terms: 0.6493506494 + -0.6493506494 = 0.0000000000 0.0000000000 + 0.974025974x + x2 = 0 + -0.6493506494 0.974025974x + x2 = 0 + -0.6493506494 Combine like terms: 0 + -0.6493506494 = -0.6493506494 0.974025974x + x2 = -0.6493506494 The x term is 0.974025974x. Take half its coefficient (0.487012987). Square it (0.2371816495) and add it to both sides. Add '0.2371816495' to each side of the equation. 0.974025974x + 0.2371816495 + x2 = -0.6493506494 + 0.2371816495 Reorder the terms: 0.2371816495 + 0.974025974x + x2 = -0.6493506494 + 0.2371816495 Combine like terms: -0.6493506494 + 0.2371816495 = -0.4121689999 0.2371816495 + 0.974025974x + x2 = -0.4121689999 Factor a perfect square on the left side: (x + 0.487012987)(x + 0.487012987) = -0.4121689999 Can't calculate square root of the right side. The solution to this equation could not be determined.
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