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Simplifying 5x2 + 14x + 27 = 0 Reorder the terms: 27 + 14x + 5x2 = 0 Solving 27 + 14x + 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 + 2.8x + x2 = 0 Move the constant term to the right: Add '-5.4' to each side of the equation. 5.4 + 2.8x + -5.4 + x2 = 0 + -5.4 Reorder the terms: 5.4 + -5.4 + 2.8x + x2 = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 2.8x + x2 = 0 + -5.4 2.8x + x2 = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 2.8x + x2 = -5.4 The x term is 2.8x. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8x + 1.96 + x2 = -5.4 + 1.96 Reorder the terms: 1.96 + 2.8x + x2 = -5.4 + 1.96 Combine like terms: -5.4 + 1.96 = -3.44 1.96 + 2.8x + x2 = -3.44 Factor a perfect square on the left side: (x + 1.4)(x + 1.4) = -3.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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