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Simplifying 5x2 + -27x + 810 = 0 Reorder the terms: 810 + -27x + 5x2 = 0 Solving 810 + -27x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 162 + -5.4x + x2 = 0 Move the constant term to the right: Add '-162' to each side of the equation. 162 + -5.4x + -162 + x2 = 0 + -162 Reorder the terms: 162 + -162 + -5.4x + x2 = 0 + -162 Combine like terms: 162 + -162 = 0 0 + -5.4x + x2 = 0 + -162 -5.4x + x2 = 0 + -162 Combine like terms: 0 + -162 = -162 -5.4x + x2 = -162 The x term is -5.4x. Take half its coefficient (-2.7). Square it (7.29) and add it to both sides. Add '7.29' to each side of the equation. -5.4x + 7.29 + x2 = -162 + 7.29 Reorder the terms: 7.29 + -5.4x + x2 = -162 + 7.29 Combine like terms: -162 + 7.29 = -154.71 7.29 + -5.4x + x2 = -154.71 Factor a perfect square on the left side: (x + -2.7)(x + -2.7) = -154.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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