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Simplifying 27x2 + -28x + 15 = 0 Reorder the terms: 15 + -28x + 27x2 = 0 Solving 15 + -28x + 27x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.5555555556 + -1.037037037x + x2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -1.037037037x + -0.5555555556 + x2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -1.037037037x + x2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -1.037037037x + x2 = 0 + -0.5555555556 -1.037037037x + x2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -1.037037037x + x2 = -0.5555555556 The x term is -1.037037037x. Take half its coefficient (-0.5185185185). Square it (0.2688614540) and add it to both sides. Add '0.2688614540' to each side of the equation. -1.037037037x + 0.2688614540 + x2 = -0.5555555556 + 0.2688614540 Reorder the terms: 0.2688614540 + -1.037037037x + x2 = -0.5555555556 + 0.2688614540 Combine like terms: -0.5555555556 + 0.2688614540 = -0.2866941016 0.2688614540 + -1.037037037x + x2 = -0.2866941016 Factor a perfect square on the left side: (x + -0.5185185185)(x + -0.5185185185) = -0.2866941016 Can't calculate square root of the right side. The solution to this equation could not be determined.
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