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Simplifying 2x2 + 21x + 141 = 0 Reorder the terms: 141 + 21x + 2x2 = 0 Solving 141 + 21x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 70.5 + 10.5x + x2 = 0 Move the constant term to the right: Add '-70.5' to each side of the equation. 70.5 + 10.5x + -70.5 + x2 = 0 + -70.5 Reorder the terms: 70.5 + -70.5 + 10.5x + x2 = 0 + -70.5 Combine like terms: 70.5 + -70.5 = 0.0 0.0 + 10.5x + x2 = 0 + -70.5 10.5x + x2 = 0 + -70.5 Combine like terms: 0 + -70.5 = -70.5 10.5x + x2 = -70.5 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = -70.5 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = -70.5 + 27.5625 Combine like terms: -70.5 + 27.5625 = -42.9375 27.5625 + 10.5x + x2 = -42.9375 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = -42.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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