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Simplifying (15x2) + x + 28 = 0 Reorder the terms: 28 + x + (15x2) = 0 Solving 28 + x + (15x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1.866666667 + 0.06666666667x + x2 = 0 Move the constant term to the right: Add '-1.866666667' to each side of the equation. 1.866666667 + 0.06666666667x + -1.866666667 + x2 = 0 + -1.866666667 Reorder the terms: 1.866666667 + -1.866666667 + 0.06666666667x + x2 = 0 + -1.866666667 Combine like terms: 1.866666667 + -1.866666667 = 0.000000000 0.000000000 + 0.06666666667x + x2 = 0 + -1.866666667 0.06666666667x + x2 = 0 + -1.866666667 Combine like terms: 0 + -1.866666667 = -1.866666667 0.06666666667x + x2 = -1.866666667 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. 0.06666666667x + 0.25 + x2 = -1.866666667 + 0.25 Reorder the terms: 0.25 + 0.06666666667x + x2 = -1.866666667 + 0.25 Combine like terms: -1.866666667 + 0.25 = -1.616666667 0.25 + 0.06666666667x + x2 = -1.616666667 Factor a perfect square on the left side: ((x) + 0.5)((x) + 0.5) = -1.616666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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