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Simplifying 9700000 = -0.01x2 + 0.22x + 8.5 Reorder the terms: 9700000 = 8.5 + 0.22x + -0.01x2 Solving 9700000 = 8.5 + 0.22x + -0.01x2 Solving for variable 'x'. Combine like terms: 9700000 + -8.5 = 9699991.5 9699991.5 + -0.22x + 0.01x2 = 8.5 + 0.22x + -0.01x2 + -8.5 + -0.22x + 0.01x2 Reorder the terms: 9699991.5 + -0.22x + 0.01x2 = 8.5 + -8.5 + 0.22x + -0.22x + -0.01x2 + 0.01x2 Combine like terms: 8.5 + -8.5 = 0.0 9699991.5 + -0.22x + 0.01x2 = 0.0 + 0.22x + -0.22x + -0.01x2 + 0.01x2 9699991.5 + -0.22x + 0.01x2 = 0.22x + -0.22x + -0.01x2 + 0.01x2 Combine like terms: 0.22x + -0.22x = 0.00 9699991.5 + -0.22x + 0.01x2 = 0.00 + -0.01x2 + 0.01x2 9699991.5 + -0.22x + 0.01x2 = -0.01x2 + 0.01x2 Combine like terms: -0.01x2 + 0.01x2 = 0.00 9699991.5 + -0.22x + 0.01x2 = 0.00 Begin completing the square. Divide all terms by 0.01 the coefficient of the squared term: Divide each side by '0.01'. 969999150 + -22x + x2 = 0 Move the constant term to the right: Add '-969999150' to each side of the equation. 969999150 + -22x + -969999150 + x2 = 0 + -969999150 Reorder the terms: 969999150 + -969999150 + -22x + x2 = 0 + -969999150 Combine like terms: 969999150 + -969999150 = 0 0 + -22x + x2 = 0 + -969999150 -22x + x2 = 0 + -969999150 Combine like terms: 0 + -969999150 = -969999150 -22x + x2 = -969999150 The x term is -22x. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22x + 121 + x2 = -969999150 + 121 Reorder the terms: 121 + -22x + x2 = -969999150 + 121 Combine like terms: -969999150 + 121 = -969999029 121 + -22x + x2 = -969999029 Factor a perfect square on the left side: (x + -11)(x + -11) = -969999029 Can't calculate square root of the right side. The solution to this equation could not be determined.
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