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Simplifying 14 + x + 13x2 = 0 Solving 14 + x + 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'. 1.076923077 + 0.07692307692x + x2 = 0 Move the constant term to the right: Add '-1.076923077' to each side of the equation. 1.076923077 + 0.07692307692x + -1.076923077 + x2 = 0 + -1.076923077 Reorder the terms: 1.076923077 + -1.076923077 + 0.07692307692x + x2 = 0 + -1.076923077 Combine like terms: 1.076923077 + -1.076923077 = 0.000000000 0.000000000 + 0.07692307692x + x2 = 0 + -1.076923077 0.07692307692x + x2 = 0 + -1.076923077 Combine like terms: 0 + -1.076923077 = -1.076923077 0.07692307692x + x2 = -1.076923077 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.07692307692x + 0.25 + x2 = -1.076923077 + 0.25 Reorder the terms: 0.25 + 0.07692307692x + x2 = -1.076923077 + 0.25 Combine like terms: -1.076923077 + 0.25 = -0.826923077 0.25 + 0.07692307692x + x2 = -0.826923077 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.826923077 Can't calculate square root of the right side. The solution to this equation could not be determined.
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