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Simplifying 0 = x2 + 40x + 3375 + -200x + 2x2 Reorder the terms: 0 = 3375 + 40x + -200x + x2 + 2x2 Combine like terms: 40x + -200x = -160x 0 = 3375 + -160x + x2 + 2x2 Combine like terms: x2 + 2x2 = 3x2 0 = 3375 + -160x + 3x2 Solving 0 = 3375 + -160x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -3375 = -3375 -3375 + 160x + -3x2 = 3375 + -160x + 3x2 + -3375 + 160x + -3x2 Reorder the terms: -3375 + 160x + -3x2 = 3375 + -3375 + -160x + 160x + 3x2 + -3x2 Combine like terms: 3375 + -3375 = 0 -3375 + 160x + -3x2 = 0 + -160x + 160x + 3x2 + -3x2 -3375 + 160x + -3x2 = -160x + 160x + 3x2 + -3x2 Combine like terms: -160x + 160x = 0 -3375 + 160x + -3x2 = 0 + 3x2 + -3x2 -3375 + 160x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3375 + 160x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1125 + -53.33333333x + x2 = 0 Move the constant term to the right: Add '-1125' to each side of the equation. 1125 + -53.33333333x + -1125 + x2 = 0 + -1125 Reorder the terms: 1125 + -1125 + -53.33333333x + x2 = 0 + -1125 Combine like terms: 1125 + -1125 = 0 0 + -53.33333333x + x2 = 0 + -1125 -53.33333333x + x2 = 0 + -1125 Combine like terms: 0 + -1125 = -1125 -53.33333333x + x2 = -1125 The x term is -53.33333333x. Take half its coefficient (-26.66666667). Square it (711.1111113) and add it to both sides. Add '711.1111113' to each side of the equation. -53.33333333x + 711.1111113 + x2 = -1125 + 711.1111113 Reorder the terms: 711.1111113 + -53.33333333x + x2 = -1125 + 711.1111113 Combine like terms: -1125 + 711.1111113 = -413.8888887 711.1111113 + -53.33333333x + x2 = -413.8888887 Factor a perfect square on the left side: (x + -26.66666667)(x + -26.66666667) = -413.8888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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