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Simplifying 4x2 + 21x + 105 = 0 Reorder the terms: 105 + 21x + 4x2 = 0 Solving 105 + 21x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 26.25 + 5.25x + x2 = 0 Move the constant term to the right: Add '-26.25' to each side of the equation. 26.25 + 5.25x + -26.25 + x2 = 0 + -26.25 Reorder the terms: 26.25 + -26.25 + 5.25x + x2 = 0 + -26.25 Combine like terms: 26.25 + -26.25 = 0.00 0.00 + 5.25x + x2 = 0 + -26.25 5.25x + x2 = 0 + -26.25 Combine like terms: 0 + -26.25 = -26.25 5.25x + x2 = -26.25 The x term is 5.25x. Take half its coefficient (2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. 5.25x + 6.890625 + x2 = -26.25 + 6.890625 Reorder the terms: 6.890625 + 5.25x + x2 = -26.25 + 6.890625 Combine like terms: -26.25 + 6.890625 = -19.359375 6.890625 + 5.25x + x2 = -19.359375 Factor a perfect square on the left side: (x + 2.625)(x + 2.625) = -19.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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