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Simplifying 27 + 21x + 4x2 = x Solving 27 + 21x + 4x2 = x Solving for variable 'x'. Reorder the terms: 27 + 21x + -1x + 4x2 = x + -1x Combine like terms: 21x + -1x = 20x 27 + 20x + 4x2 = x + -1x Combine like terms: x + -1x = 0 27 + 20x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.75 + 5x + x2 = 0 Move the constant term to the right: Add '-6.75' to each side of the equation. 6.75 + 5x + -6.75 + x2 = 0 + -6.75 Reorder the terms: 6.75 + -6.75 + 5x + x2 = 0 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + 5x + x2 = 0 + -6.75 5x + x2 = 0 + -6.75 Combine like terms: 0 + -6.75 = -6.75 5x + x2 = -6.75 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -6.75 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -6.75 + 6.25 Combine like terms: -6.75 + 6.25 = -0.5 6.25 + 5x + x2 = -0.5 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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