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Simplifying 20x2 + -21x + 12 = 0 Reorder the terms: 12 + -21x + 20x2 = 0 Solving 12 + -21x + 20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.6 + -1.05x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -1.05x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -1.05x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.05x + x2 = 0 + -0.6 -1.05x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -1.05x + x2 = -0.6 The x term is -1.05x. Take half its coefficient (-0.525). Square it (0.275625) and add it to both sides. Add '0.275625' to each side of the equation. -1.05x + 0.275625 + x2 = -0.6 + 0.275625 Reorder the terms: 0.275625 + -1.05x + x2 = -0.6 + 0.275625 Combine like terms: -0.6 + 0.275625 = -0.324375 0.275625 + -1.05x + x2 = -0.324375 Factor a perfect square on the left side: (x + -0.525)(x + -0.525) = -0.324375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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