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Simplifying 19x2 + 24x + 9 = 0 Reorder the terms: 9 + 24x + 19x2 = 0 Solving 9 + 24x + 19x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 0.4736842105 + 1.263157895x + x2 = 0 Move the constant term to the right: Add '-0.4736842105' to each side of the equation. 0.4736842105 + 1.263157895x + -0.4736842105 + x2 = 0 + -0.4736842105 Reorder the terms: 0.4736842105 + -0.4736842105 + 1.263157895x + x2 = 0 + -0.4736842105 Combine like terms: 0.4736842105 + -0.4736842105 = 0.0000000000 0.0000000000 + 1.263157895x + x2 = 0 + -0.4736842105 1.263157895x + x2 = 0 + -0.4736842105 Combine like terms: 0 + -0.4736842105 = -0.4736842105 1.263157895x + x2 = -0.4736842105 The x term is 1.263157895x. Take half its coefficient (0.6315789475). Square it (0.3988919669) and add it to both sides. Add '0.3988919669' to each side of the equation. 1.263157895x + 0.3988919669 + x2 = -0.4736842105 + 0.3988919669 Reorder the terms: 0.3988919669 + 1.263157895x + x2 = -0.4736842105 + 0.3988919669 Combine like terms: -0.4736842105 + 0.3988919669 = -0.0747922436 0.3988919669 + 1.263157895x + x2 = -0.0747922436 Factor a perfect square on the left side: (x + 0.6315789475)(x + 0.6315789475) = -0.0747922436 Can't calculate square root of the right side. The solution to this equation could not be determined.
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