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Simplifying 20x2 + -9x + 33 = 0 Reorder the terms: 33 + -9x + 20x2 = 0 Solving 33 + -9x + 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'. 1.65 + -0.45x + x2 = 0 Move the constant term to the right: Add '-1.65' to each side of the equation. 1.65 + -0.45x + -1.65 + x2 = 0 + -1.65 Reorder the terms: 1.65 + -1.65 + -0.45x + x2 = 0 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + -0.45x + x2 = 0 + -1.65 -0.45x + x2 = 0 + -1.65 Combine like terms: 0 + -1.65 = -1.65 -0.45x + x2 = -1.65 The x term is -0.45x. Take half its coefficient (-0.225). Square it (0.050625) and add it to both sides. Add '0.050625' to each side of the equation. -0.45x + 0.050625 + x2 = -1.65 + 0.050625 Reorder the terms: 0.050625 + -0.45x + x2 = -1.65 + 0.050625 Combine like terms: -1.65 + 0.050625 = -1.599375 0.050625 + -0.45x + x2 = -1.599375 Factor a perfect square on the left side: (x + -0.225)(x + -0.225) = -1.599375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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