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Simplifying 19x2 + 15x + 19 = 0 Reorder the terms: 19 + 15x + 19x2 = 0 Solving 19 + 15x + 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'. 1 + 0.7894736842x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.7894736842x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.7894736842x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7894736842x + x2 = 0 + -1 0.7894736842x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.7894736842x + x2 = -1 The x term is 0.7894736842x. Take half its coefficient (0.3947368421). Square it (0.1558171745) and add it to both sides. Add '0.1558171745' to each side of the equation. 0.7894736842x + 0.1558171745 + x2 = -1 + 0.1558171745 Reorder the terms: 0.1558171745 + 0.7894736842x + x2 = -1 + 0.1558171745 Combine like terms: -1 + 0.1558171745 = -0.8441828255 0.1558171745 + 0.7894736842x + x2 = -0.8441828255 Factor a perfect square on the left side: (x + 0.3947368421)(x + 0.3947368421) = -0.8441828255 Can't calculate square root of the right side. The solution to this equation could not be determined.
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