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Simplifying 400000 = -15x2 + 64x + 360 Reorder the terms: 400000 = 360 + 64x + -15x2 Solving 400000 = 360 + 64x + -15x2 Solving for variable 'x'. Combine like terms: 400000 + -360 = 399640 399640 + -64x + 15x2 = 360 + 64x + -15x2 + -360 + -64x + 15x2 Reorder the terms: 399640 + -64x + 15x2 = 360 + -360 + 64x + -64x + -15x2 + 15x2 Combine like terms: 360 + -360 = 0 399640 + -64x + 15x2 = 0 + 64x + -64x + -15x2 + 15x2 399640 + -64x + 15x2 = 64x + -64x + -15x2 + 15x2 Combine like terms: 64x + -64x = 0 399640 + -64x + 15x2 = 0 + -15x2 + 15x2 399640 + -64x + 15x2 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 399640 + -64x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 26642.66667 + -4.266666667x + x2 = 0 Move the constant term to the right: Add '-26642.66667' to each side of the equation. 26642.66667 + -4.266666667x + -26642.66667 + x2 = 0 + -26642.66667 Reorder the terms: 26642.66667 + -26642.66667 + -4.266666667x + x2 = 0 + -26642.66667 Combine like terms: 26642.66667 + -26642.66667 = 0.00000 0.00000 + -4.266666667x + x2 = 0 + -26642.66667 -4.266666667x + x2 = 0 + -26642.66667 Combine like terms: 0 + -26642.66667 = -26642.66667 -4.266666667x + x2 = -26642.66667 The x term is -4.266666667x. Take half its coefficient (-2.133333334). Square it (4.551111114) and add it to both sides. Add '4.551111114' to each side of the equation. -4.266666667x + 4.551111114 + x2 = -26642.66667 + 4.551111114 Reorder the terms: 4.551111114 + -4.266666667x + x2 = -26642.66667 + 4.551111114 Combine like terms: -26642.66667 + 4.551111114 = -26638.115558886 4.551111114 + -4.266666667x + x2 = -26638.115558886 Factor a perfect square on the left side: (x + -2.133333334)(x + -2.133333334) = -26638.115558886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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