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Simplifying 4.9x2 + 8x = -15 Reorder the terms: 8x + 4.9x2 = -15 Solving 8x + 4.9x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + 8x + 4.9x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 8x + 4.9x2 = 0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 3.06122449 + 1.632653061x + x2 = 0 Move the constant term to the right: Add '-3.06122449' to each side of the equation. 3.06122449 + 1.632653061x + -3.06122449 + x2 = 0 + -3.06122449 Reorder the terms: 3.06122449 + -3.06122449 + 1.632653061x + x2 = 0 + -3.06122449 Combine like terms: 3.06122449 + -3.06122449 = 0.00000000 0.00000000 + 1.632653061x + x2 = 0 + -3.06122449 1.632653061x + x2 = 0 + -3.06122449 Combine like terms: 0 + -3.06122449 = -3.06122449 1.632653061x + x2 = -3.06122449 The x term is 1.632653061x. Take half its coefficient (0.8163265305). Square it (0.6663890044) and add it to both sides. Add '0.6663890044' to each side of the equation. 1.632653061x + 0.6663890044 + x2 = -3.06122449 + 0.6663890044 Reorder the terms: 0.6663890044 + 1.632653061x + x2 = -3.06122449 + 0.6663890044 Combine like terms: -3.06122449 + 0.6663890044 = -2.3948354856 0.6663890044 + 1.632653061x + x2 = -2.3948354856 Factor a perfect square on the left side: (x + 0.8163265305)(x + 0.8163265305) = -2.3948354856 Can't calculate square root of the right side. The solution to this equation could not be determined.
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