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Simplifying 105x2 + 21x + 4 = 0 Reorder the terms: 4 + 21x + 105x2 = 0 Solving 4 + 21x + 105x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 105 the coefficient of the squared term: Divide each side by '105'. 0.0380952381 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.0380952381' to each side of the equation. 0.0380952381 + 0.2x + -0.0380952381 + x2 = 0 + -0.0380952381 Reorder the terms: 0.0380952381 + -0.0380952381 + 0.2x + x2 = 0 + -0.0380952381 Combine like terms: 0.0380952381 + -0.0380952381 = 0.0000000000 0.0000000000 + 0.2x + x2 = 0 + -0.0380952381 0.2x + x2 = 0 + -0.0380952381 Combine like terms: 0 + -0.0380952381 = -0.0380952381 0.2x + x2 = -0.0380952381 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = -0.0380952381 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -0.0380952381 + 0.01 Combine like terms: -0.0380952381 + 0.01 = -0.0280952381 0.01 + 0.2x + x2 = -0.0280952381 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -0.0280952381 Can't calculate square root of the right side. The solution to this equation could not be determined.
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