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Simplifying 3x2 + -3x + 20 = 0 Reorder the terms: 20 + -3x + 3x2 = 0 Solving 20 + -3x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6.666666667 + -1x + x2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -1x + -6.666666667 + x2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -1x + x2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -1x + x2 = 0 + -6.666666667 -1x + x2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -1x + x2 = -6.666666667 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -6.666666667 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -6.666666667 + 0.25 Combine like terms: -6.666666667 + 0.25 = -6.416666667 0.25 + -1x + x2 = -6.416666667 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -6.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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