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Simplifying 5x2 + 60x + 189 = 0 Reorder the terms: 189 + 60x + 5x2 = 0 Solving 189 + 60x + 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'. 37.8 + 12x + x2 = 0 Move the constant term to the right: Add '-37.8' to each side of the equation. 37.8 + 12x + -37.8 + x2 = 0 + -37.8 Reorder the terms: 37.8 + -37.8 + 12x + x2 = 0 + -37.8 Combine like terms: 37.8 + -37.8 = 0.0 0.0 + 12x + x2 = 0 + -37.8 12x + x2 = 0 + -37.8 Combine like terms: 0 + -37.8 = -37.8 12x + x2 = -37.8 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -37.8 + 36 Reorder the terms: 36 + 12x + x2 = -37.8 + 36 Combine like terms: -37.8 + 36 = -1.8 36 + 12x + x2 = -1.8 Factor a perfect square on the left side: (x + 6)(x + 6) = -1.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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