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Simplifying 13x2 + x + 7 = 0 Reorder the terms: 7 + x + 13x2 = 0 Solving 7 + 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'. 0.5384615385 + 0.07692307692x + x2 = 0 Move the constant term to the right: Add '-0.5384615385' to each side of the equation. 0.5384615385 + 0.07692307692x + -0.5384615385 + x2 = 0 + -0.5384615385 Reorder the terms: 0.5384615385 + -0.5384615385 + 0.07692307692x + x2 = 0 + -0.5384615385 Combine like terms: 0.5384615385 + -0.5384615385 = 0.0000000000 0.0000000000 + 0.07692307692x + x2 = 0 + -0.5384615385 0.07692307692x + x2 = 0 + -0.5384615385 Combine like terms: 0 + -0.5384615385 = -0.5384615385 0.07692307692x + x2 = -0.5384615385 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 = -0.5384615385 + 0.25 Reorder the terms: 0.25 + 0.07692307692x + x2 = -0.5384615385 + 0.25 Combine like terms: -0.5384615385 + 0.25 = -0.2884615385 0.25 + 0.07692307692x + x2 = -0.2884615385 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.2884615385 Can't calculate square root of the right side. The solution to this equation could not be determined.
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