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Simplifying x2 + 7.8x + 43.2 = 0 Reorder the terms: 43.2 + 7.8x + x2 = 0 Solving 43.2 + 7.8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-43.2' to each side of the equation. 43.2 + 7.8x + -43.2 + x2 = 0 + -43.2 Reorder the terms: 43.2 + -43.2 + 7.8x + x2 = 0 + -43.2 Combine like terms: 43.2 + -43.2 = 0.0 0.0 + 7.8x + x2 = 0 + -43.2 7.8x + x2 = 0 + -43.2 Combine like terms: 0 + -43.2 = -43.2 7.8x + x2 = -43.2 The x term is 7.8x. Take half its coefficient (3.9). Square it (15.21) and add it to both sides. Add '15.21' to each side of the equation. 7.8x + 15.21 + x2 = -43.2 + 15.21 Reorder the terms: 15.21 + 7.8x + x2 = -43.2 + 15.21 Combine like terms: -43.2 + 15.21 = -27.99 15.21 + 7.8x + x2 = -27.99 Factor a perfect square on the left side: (x + 3.9)(x + 3.9) = -27.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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