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Simplifying 13x2 + -78x + 153 = 0 Reorder the terms: 153 + -78x + 13x2 = 0 Solving 153 + -78x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 11.76923077 + -6x + x2 = 0 Move the constant term to the right: Add '-11.76923077' to each side of the equation. 11.76923077 + -6x + -11.76923077 + x2 = 0 + -11.76923077 Reorder the terms: 11.76923077 + -11.76923077 + -6x + x2 = 0 + -11.76923077 Combine like terms: 11.76923077 + -11.76923077 = 0.00000000 0.00000000 + -6x + x2 = 0 + -11.76923077 -6x + x2 = 0 + -11.76923077 Combine like terms: 0 + -11.76923077 = -11.76923077 -6x + x2 = -11.76923077 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -11.76923077 + 9 Reorder the terms: 9 + -6x + x2 = -11.76923077 + 9 Combine like terms: -11.76923077 + 9 = -2.76923077 9 + -6x + x2 = -2.76923077 Factor a perfect square on the left side: (x + -3)(x + -3) = -2.76923077 Can't calculate square root of the right side. The solution to this equation could not be determined.
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