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Simplifying 4.9x2 + 4x + 3 = 0 Reorder the terms: 3 + 4x + 4.9x2 = 0 Solving 3 + 4x + 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'. 0.612244898 + 0.8163265306x + x2 = 0 Move the constant term to the right: Add '-0.612244898' to each side of the equation. 0.612244898 + 0.8163265306x + -0.612244898 + x2 = 0 + -0.612244898 Reorder the terms: 0.612244898 + -0.612244898 + 0.8163265306x + x2 = 0 + -0.612244898 Combine like terms: 0.612244898 + -0.612244898 = 0.000000000 0.000000000 + 0.8163265306x + x2 = 0 + -0.612244898 0.8163265306x + x2 = 0 + -0.612244898 Combine like terms: 0 + -0.612244898 = -0.612244898 0.8163265306x + x2 = -0.612244898 The x term is 0.8163265306x. Take half its coefficient (0.4081632653). Square it (0.1665972511) and add it to both sides. Add '0.1665972511' to each side of the equation. 0.8163265306x + 0.1665972511 + x2 = -0.612244898 + 0.1665972511 Reorder the terms: 0.1665972511 + 0.8163265306x + x2 = -0.612244898 + 0.1665972511 Combine like terms: -0.612244898 + 0.1665972511 = -0.4456476469 0.1665972511 + 0.8163265306x + x2 = -0.4456476469 Factor a perfect square on the left side: (x + 0.4081632653)(x + 0.4081632653) = -0.4456476469 Can't calculate square root of the right side. The solution to this equation could not be determined.
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