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Simplifying (19x2 + 12x + 12) + (7x2 + 10x + 13) = 0 Reorder the terms: (12 + 12x + 19x2) + (7x2 + 10x + 13) = 0 Remove parenthesis around (12 + 12x + 19x2) 12 + 12x + 19x2 + (7x2 + 10x + 13) = 0 Reorder the terms: 12 + 12x + 19x2 + (13 + 10x + 7x2) = 0 Remove parenthesis around (13 + 10x + 7x2) 12 + 12x + 19x2 + 13 + 10x + 7x2 = 0 Reorder the terms: 12 + 13 + 12x + 10x + 19x2 + 7x2 = 0 Combine like terms: 12 + 13 = 25 25 + 12x + 10x + 19x2 + 7x2 = 0 Combine like terms: 12x + 10x = 22x 25 + 22x + 19x2 + 7x2 = 0 Combine like terms: 19x2 + 7x2 = 26x2 25 + 22x + 26x2 = 0 Solving 25 + 22x + 26x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 26 the coefficient of the squared term: Divide each side by '26'. 0.9615384615 + 0.8461538462x + x2 = 0 Move the constant term to the right: Add '-0.9615384615' to each side of the equation. 0.9615384615 + 0.8461538462x + -0.9615384615 + x2 = 0 + -0.9615384615 Reorder the terms: 0.9615384615 + -0.9615384615 + 0.8461538462x + x2 = 0 + -0.9615384615 Combine like terms: 0.9615384615 + -0.9615384615 = 0.0000000000 0.0000000000 + 0.8461538462x + x2 = 0 + -0.9615384615 0.8461538462x + x2 = 0 + -0.9615384615 Combine like terms: 0 + -0.9615384615 = -0.9615384615 0.8461538462x + x2 = -0.9615384615 The x term is 0.8461538462x. Take half its coefficient (0.4230769231). Square it (0.1789940829) and add it to both sides. Add '0.1789940829' to each side of the equation. 0.8461538462x + 0.1789940829 + x2 = -0.9615384615 + 0.1789940829 Reorder the terms: 0.1789940829 + 0.8461538462x + x2 = -0.9615384615 + 0.1789940829 Combine like terms: -0.9615384615 + 0.1789940829 = -0.7825443786 0.1789940829 + 0.8461538462x + x2 = -0.7825443786 Factor a perfect square on the left side: (x + 0.4230769231)(x + 0.4230769231) = -0.7825443786 Can't calculate square root of the right side. The solution to this equation could not be determined.
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