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Simplifying 65x2 + -6x + 180 = 0 Reorder the terms: 180 + -6x + 65x2 = 0 Solving 180 + -6x + 65x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 65 the coefficient of the squared term: Divide each side by '65'. 2.769230769 + -0.09230769231x + x2 = 0 Move the constant term to the right: Add '-2.769230769' to each side of the equation. 2.769230769 + -0.09230769231x + -2.769230769 + x2 = 0 + -2.769230769 Reorder the terms: 2.769230769 + -2.769230769 + -0.09230769231x + x2 = 0 + -2.769230769 Combine like terms: 2.769230769 + -2.769230769 = 0.000000000 0.000000000 + -0.09230769231x + x2 = 0 + -2.769230769 -0.09230769231x + x2 = 0 + -2.769230769 Combine like terms: 0 + -2.769230769 = -2.769230769 -0.09230769231x + x2 = -2.769230769 The x term is -0.09230769231x. Take half its coefficient (-0.04615384616). Square it (0.002130177515) and add it to both sides. Add '0.002130177515' to each side of the equation. -0.09230769231x + 0.002130177515 + x2 = -2.769230769 + 0.002130177515 Reorder the terms: 0.002130177515 + -0.09230769231x + x2 = -2.769230769 + 0.002130177515 Combine like terms: -2.769230769 + 0.002130177515 = -2.767100591485 0.002130177515 + -0.09230769231x + x2 = -2.767100591485 Factor a perfect square on the left side: (x + -0.04615384616)(x + -0.04615384616) = -2.767100591485 Can't calculate square root of the right side. The solution to this equation could not be determined.
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