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Simplifying 13x2 + 18x + 8 = 0 Reorder the terms: 8 + 18x + 13x2 = 0 Solving 8 + 18x + 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'. 0.6153846154 + 1.384615385x + x2 = 0 Move the constant term to the right: Add '-0.6153846154' to each side of the equation. 0.6153846154 + 1.384615385x + -0.6153846154 + x2 = 0 + -0.6153846154 Reorder the terms: 0.6153846154 + -0.6153846154 + 1.384615385x + x2 = 0 + -0.6153846154 Combine like terms: 0.6153846154 + -0.6153846154 = 0.0000000000 0.0000000000 + 1.384615385x + x2 = 0 + -0.6153846154 1.384615385x + x2 = 0 + -0.6153846154 Combine like terms: 0 + -0.6153846154 = -0.6153846154 1.384615385x + x2 = -0.6153846154 The x term is 1.384615385x. Take half its coefficient (0.6923076925). Square it (0.4792899411) and add it to both sides. Add '0.4792899411' to each side of the equation. 1.384615385x + 0.4792899411 + x2 = -0.6153846154 + 0.4792899411 Reorder the terms: 0.4792899411 + 1.384615385x + x2 = -0.6153846154 + 0.4792899411 Combine like terms: -0.6153846154 + 0.4792899411 = -0.1360946743 0.4792899411 + 1.384615385x + x2 = -0.1360946743 Factor a perfect square on the left side: (x + 0.6923076925)(x + 0.6923076925) = -0.1360946743 Can't calculate square root of the right side. The solution to this equation could not be determined.
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