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Simplifying 0.86x2 + -3.15x + 6 = 0 Reorder the terms: 6 + -3.15x + 0.86x2 = 0 Solving 6 + -3.15x + 0.86x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.86 the coefficient of the squared term: Divide each side by '0.86'. 6.976744186 + -3.662790698x + x2 = 0 Move the constant term to the right: Add '-6.976744186' to each side of the equation. 6.976744186 + -3.662790698x + -6.976744186 + x2 = 0 + -6.976744186 Reorder the terms: 6.976744186 + -6.976744186 + -3.662790698x + x2 = 0 + -6.976744186 Combine like terms: 6.976744186 + -6.976744186 = 0.000000000 0.000000000 + -3.662790698x + x2 = 0 + -6.976744186 -3.662790698x + x2 = 0 + -6.976744186 Combine like terms: 0 + -6.976744186 = -6.976744186 -3.662790698x + x2 = -6.976744186 The x term is -3.662790698x. Take half its coefficient (-1.831395349). Square it (3.354008924) and add it to both sides. Add '3.354008924' to each side of the equation. -3.662790698x + 3.354008924 + x2 = -6.976744186 + 3.354008924 Reorder the terms: 3.354008924 + -3.662790698x + x2 = -6.976744186 + 3.354008924 Combine like terms: -6.976744186 + 3.354008924 = -3.622735262 3.354008924 + -3.662790698x + x2 = -3.622735262 Factor a perfect square on the left side: (x + -1.831395349)(x + -1.831395349) = -3.622735262 Can't calculate square root of the right side. The solution to this equation could not be determined.
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