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Simplifying 5x2 + -13x + 134 = 0 Reorder the terms: 134 + -13x + 5x2 = 0 Solving 134 + -13x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 26.8 + -2.6x + x2 = 0 Move the constant term to the right: Add '-26.8' to each side of the equation. 26.8 + -2.6x + -26.8 + x2 = 0 + -26.8 Reorder the terms: 26.8 + -26.8 + -2.6x + x2 = 0 + -26.8 Combine like terms: 26.8 + -26.8 = 0.0 0.0 + -2.6x + x2 = 0 + -26.8 -2.6x + x2 = 0 + -26.8 Combine like terms: 0 + -26.8 = -26.8 -2.6x + x2 = -26.8 The x term is -2.6x. Take half its coefficient (-1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. -2.6x + 1.69 + x2 = -26.8 + 1.69 Reorder the terms: 1.69 + -2.6x + x2 = -26.8 + 1.69 Combine like terms: -26.8 + 1.69 = -25.11 1.69 + -2.6x + x2 = -25.11 Factor a perfect square on the left side: (x + -1.3)(x + -1.3) = -25.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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