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Simplifying 4.9x2 + -15x + 51 = 0 Reorder the terms: 51 + -15x + 4.9x2 = 0 Solving 51 + -15x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 10.40816327 + -3.06122449x + x2 = 0 Move the constant term to the right: Add '-10.40816327' to each side of the equation. 10.40816327 + -3.06122449x + -10.40816327 + x2 = 0 + -10.40816327 Reorder the terms: 10.40816327 + -10.40816327 + -3.06122449x + x2 = 0 + -10.40816327 Combine like terms: 10.40816327 + -10.40816327 = 0.00000000 0.00000000 + -3.06122449x + x2 = 0 + -10.40816327 -3.06122449x + x2 = 0 + -10.40816327 Combine like terms: 0 + -10.40816327 = -10.40816327 -3.06122449x + x2 = -10.40816327 The x term is -3.06122449x. Take half its coefficient (-1.530612245). Square it (2.342773845) and add it to both sides. Add '2.342773845' to each side of the equation. -3.06122449x + 2.342773845 + x2 = -10.40816327 + 2.342773845 Reorder the terms: 2.342773845 + -3.06122449x + x2 = -10.40816327 + 2.342773845 Combine like terms: -10.40816327 + 2.342773845 = -8.065389425 2.342773845 + -3.06122449x + x2 = -8.065389425 Factor a perfect square on the left side: (x + -1.530612245)(x + -1.530612245) = -8.065389425 Can't calculate square root of the right side. The solution to this equation could not be determined.
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