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Simplifying 5x2 + 27x + 70 = 0 Reorder the terms: 70 + 27x + 5x2 = 0 Solving 70 + 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'. 14 + 5.4x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + 5.4x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 5.4x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5.4x + x2 = 0 + -14 5.4x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 5.4x + x2 = -14 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 = -14 + 7.29 Reorder the terms: 7.29 + 5.4x + x2 = -14 + 7.29 Combine like terms: -14 + 7.29 = -6.71 7.29 + 5.4x + x2 = -6.71 Factor a perfect square on the left side: (x + 2.7)(x + 2.7) = -6.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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