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Simplifying -5x2 + 6x + -27 = 0 Reorder the terms: -27 + 6x + -5x2 = 0 Solving -27 + 6x + -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'. 5.4 + -1.2x + x2 = 0 Move the constant term to the right: Add '-5.4' to each side of the equation. 5.4 + -1.2x + -5.4 + x2 = 0 + -5.4 Reorder the terms: 5.4 + -5.4 + -1.2x + x2 = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1.2x + x2 = 0 + -5.4 -1.2x + x2 = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 -1.2x + x2 = -5.4 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -5.4 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -5.4 + 0.36 Combine like terms: -5.4 + 0.36 = -5.04 0.36 + -1.2x + x2 = -5.04 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -5.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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