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Simplifying 5x2 + -27x + 60 = 0 Reorder the terms: 60 + -27x + 5x2 = 0 Solving 60 + -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'. 12 + -5.4x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -5.4x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -5.4x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5.4x + x2 = 0 + -12 -5.4x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -5.4x + x2 = -12 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 = -12 + 7.29 Reorder the terms: 7.29 + -5.4x + x2 = -12 + 7.29 Combine like terms: -12 + 7.29 = -4.71 7.29 + -5.4x + x2 = -4.71 Factor a perfect square on the left side: (x + -2.7)(x + -2.7) = -4.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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