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Simplifying (20x4) + -1(9x2) + 6 = 0 Remove parenthesis around (9x2) (20x4) + -1 * 9x2 + 6 = 0 Multiply -1 * 9 (20x4) + -9x2 + 6 = 0 Reorder the terms: 6 + -9x2 + (20x4) = 0 Solving 6 + -9x2 + (20x4) = 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'. 0.3 + -0.45x2 + x4 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.45x2 + -0.3 + x4 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.45x2 + x4 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.45x2 + x4 = 0 + -0.3 -0.45x2 + x4 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -0.45x2 + x4 = -0.3 The x term is -0.45x2. 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. -0.45x2 + 0.050625 + x4 = -0.3 + 0.050625 Reorder the terms: 0.050625 + -0.45x2 + x4 = -0.3 + 0.050625 Combine like terms: -0.3 + 0.050625 = -0.249375 0.050625 + -0.45x2 + x4 = -0.249375 Factor a perfect square on the left side: ((x2) + -0.225)((x2) + -0.225) = -0.249375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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