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Simplifying 20 = -9.75x2 + 26x Reorder the terms: 20 = 26x + -9.75x2 Solving 20 = 26x + -9.75x2 Solving for variable 'x'. Reorder the terms: 20 + -26x + 9.75x2 = 26x + -26x + -9.75x2 + 9.75x2 Combine like terms: 26x + -26x = 0 20 + -26x + 9.75x2 = 0 + -9.75x2 + 9.75x2 20 + -26x + 9.75x2 = -9.75x2 + 9.75x2 Combine like terms: -9.75x2 + 9.75x2 = 0.00 20 + -26x + 9.75x2 = 0.00 Begin completing the square. Divide all terms by 9.75 the coefficient of the squared term: Divide each side by '9.75'. 2.051282051 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-2.051282051' to each side of the equation. 2.051282051 + -2.666666667x + -2.051282051 + x2 = 0 + -2.051282051 Reorder the terms: 2.051282051 + -2.051282051 + -2.666666667x + x2 = 0 + -2.051282051 Combine like terms: 2.051282051 + -2.051282051 = 0.000000000 0.000000000 + -2.666666667x + x2 = 0 + -2.051282051 -2.666666667x + x2 = 0 + -2.051282051 Combine like terms: 0 + -2.051282051 = -2.051282051 -2.666666667x + x2 = -2.051282051 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = -2.051282051 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -2.051282051 + 1.777777780 Combine like terms: -2.051282051 + 1.777777780 = -0.273504271 1.777777780 + -2.666666667x + x2 = -0.273504271 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -0.273504271 Can't calculate square root of the right side. The solution to this equation could not be determined.
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