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Simplifying x2 + 5x + 3 = -4.302775638 Reorder the terms: 3 + 5x + x2 = -4.302775638 Solving 3 + 5x + x2 = -4.302775638 Solving for variable 'x'. Reorder the terms: 3 + 4.302775638 + 5x + x2 = -4.302775638 + 4.302775638 Combine like terms: 3 + 4.302775638 = 7.302775638 7.302775638 + 5x + x2 = -4.302775638 + 4.302775638 Combine like terms: -4.302775638 + 4.302775638 = 0.000000000 7.302775638 + 5x + x2 = 0.000000000 Begin completing the square. Move the constant term to the right: Add '-7.302775638' to each side of the equation. 7.302775638 + 5x + -7.302775638 + x2 = 0.000000000 + -7.302775638 Reorder the terms: 7.302775638 + -7.302775638 + 5x + x2 = 0.000000000 + -7.302775638 Combine like terms: 7.302775638 + -7.302775638 = 0.000000000 0.000000000 + 5x + x2 = 0.000000000 + -7.302775638 5x + x2 = 0.000000000 + -7.302775638 Combine like terms: 0.000000000 + -7.302775638 = -7.302775638 5x + x2 = -7.302775638 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -7.302775638 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -7.302775638 + 6.25 Combine like terms: -7.302775638 + 6.25 = -1.052775638 6.25 + 5x + x2 = -1.052775638 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -1.052775638 Can't calculate square root of the right side. The solution to this equation could not be determined.
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