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Simplifying (14x2 + 5x + 19) + (11x2 + 18x + 17) = 0 Reorder the terms: (19 + 5x + 14x2) + (11x2 + 18x + 17) = 0 Remove parenthesis around (19 + 5x + 14x2) 19 + 5x + 14x2 + (11x2 + 18x + 17) = 0 Reorder the terms: 19 + 5x + 14x2 + (17 + 18x + 11x2) = 0 Remove parenthesis around (17 + 18x + 11x2) 19 + 5x + 14x2 + 17 + 18x + 11x2 = 0 Reorder the terms: 19 + 17 + 5x + 18x + 14x2 + 11x2 = 0 Combine like terms: 19 + 17 = 36 36 + 5x + 18x + 14x2 + 11x2 = 0 Combine like terms: 5x + 18x = 23x 36 + 23x + 14x2 + 11x2 = 0 Combine like terms: 14x2 + 11x2 = 25x2 36 + 23x + 25x2 = 0 Solving 36 + 23x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1.44 + 0.92x + x2 = 0 Move the constant term to the right: Add '-1.44' to each side of the equation. 1.44 + 0.92x + -1.44 + x2 = 0 + -1.44 Reorder the terms: 1.44 + -1.44 + 0.92x + x2 = 0 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + 0.92x + x2 = 0 + -1.44 0.92x + x2 = 0 + -1.44 Combine like terms: 0 + -1.44 = -1.44 0.92x + x2 = -1.44 The x term is 0.92x. Take half its coefficient (0.46). Square it (0.2116) and add it to both sides. Add '0.2116' to each side of the equation. 0.92x + 0.2116 + x2 = -1.44 + 0.2116 Reorder the terms: 0.2116 + 0.92x + x2 = -1.44 + 0.2116 Combine like terms: -1.44 + 0.2116 = -1.2284 0.2116 + 0.92x + x2 = -1.2284 Factor a perfect square on the left side: (x + 0.46)(x + 0.46) = -1.2284 Can't calculate square root of the right side. The solution to this equation could not be determined.
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