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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 = 1 1 + 12x + -10x + 19x2 + 7x2 = 0 Combine like terms: 12x + -10x = 2x 1 + 2x + 19x2 + 7x2 = 0 Combine like terms: 19x2 + 7x2 = 26x2 1 + 2x + 26x2 = 0 Solving 1 + 2x + 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'. 0.03846153846 + 0.07692307692x + x2 = 0 Move the constant term to the right: Add '-0.03846153846' to each side of the equation. 0.03846153846 + 0.07692307692x + -0.03846153846 + x2 = 0 + -0.03846153846 Reorder the terms: 0.03846153846 + -0.03846153846 + 0.07692307692x + x2 = 0 + -0.03846153846 Combine like terms: 0.03846153846 + -0.03846153846 = 0.00000000000 0.00000000000 + 0.07692307692x + x2 = 0 + -0.03846153846 0.07692307692x + x2 = 0 + -0.03846153846 Combine like terms: 0 + -0.03846153846 = -0.03846153846 0.07692307692x + x2 = -0.03846153846 The x term is 0.07692307692x. Take half its coefficient (0.03846153846). Square it (0.001479289941) and add it to both sides. Add '0.001479289941' to each side of the equation. 0.07692307692x + 0.001479289941 + x2 = -0.03846153846 + 0.001479289941 Reorder the terms: 0.001479289941 + 0.07692307692x + x2 = -0.03846153846 + 0.001479289941 Combine like terms: -0.03846153846 + 0.001479289941 = -0.036982248519 0.001479289941 + 0.07692307692x + x2 = -0.036982248519 Factor a perfect square on the left side: (x + 0.03846153846)(x + 0.03846153846) = -0.036982248519 Can't calculate square root of the right side. The solution to this equation could not be determined.
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