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Simplifying 5x2 + -13x + 16 = 0 Reorder the terms: 16 + -13x + 5x2 = 0 Solving 16 + -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'. 3.2 + -2.6x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + -2.6x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + -2.6x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -2.6x + x2 = 0 + -3.2 -2.6x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -2.6x + x2 = -3.2 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 = -3.2 + 1.69 Reorder the terms: 1.69 + -2.6x + x2 = -3.2 + 1.69 Combine like terms: -3.2 + 1.69 = -1.51 1.69 + -2.6x + x2 = -1.51 Factor a perfect square on the left side: (x + -1.3)(x + -1.3) = -1.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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