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Simplifying 13x2 + 9x + 28 = 0 Reorder the terms: 28 + 9x + 13x2 = 0 Solving 28 + 9x + 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'. 2.153846154 + 0.6923076923x + x2 = 0 Move the constant term to the right: Add '-2.153846154' to each side of the equation. 2.153846154 + 0.6923076923x + -2.153846154 + x2 = 0 + -2.153846154 Reorder the terms: 2.153846154 + -2.153846154 + 0.6923076923x + x2 = 0 + -2.153846154 Combine like terms: 2.153846154 + -2.153846154 = 0.000000000 0.000000000 + 0.6923076923x + x2 = 0 + -2.153846154 0.6923076923x + x2 = 0 + -2.153846154 Combine like terms: 0 + -2.153846154 = -2.153846154 0.6923076923x + x2 = -2.153846154 The x term is 0.6923076923x. Take half its coefficient (0.3461538462). Square it (0.1198224852) and add it to both sides. Add '0.1198224852' to each side of the equation. 0.6923076923x + 0.1198224852 + x2 = -2.153846154 + 0.1198224852 Reorder the terms: 0.1198224852 + 0.6923076923x + x2 = -2.153846154 + 0.1198224852 Combine like terms: -2.153846154 + 0.1198224852 = -2.0340236688 0.1198224852 + 0.6923076923x + x2 = -2.0340236688 Factor a perfect square on the left side: (x + 0.3461538462)(x + 0.3461538462) = -2.0340236688 Can't calculate square root of the right side. The solution to this equation could not be determined.
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