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Simplifying (14x2 + 7x + 9) + (7x2 + 9x + 9) = 0 Reorder the terms: (9 + 7x + 14x2) + (7x2 + 9x + 9) = 0 Remove parenthesis around (9 + 7x + 14x2) 9 + 7x + 14x2 + (7x2 + 9x + 9) = 0 Reorder the terms: 9 + 7x + 14x2 + (9 + 9x + 7x2) = 0 Remove parenthesis around (9 + 9x + 7x2) 9 + 7x + 14x2 + 9 + 9x + 7x2 = 0 Reorder the terms: 9 + 9 + 7x + 9x + 14x2 + 7x2 = 0 Combine like terms: 9 + 9 = 18 18 + 7x + 9x + 14x2 + 7x2 = 0 Combine like terms: 7x + 9x = 16x 18 + 16x + 14x2 + 7x2 = 0 Combine like terms: 14x2 + 7x2 = 21x2 18 + 16x + 21x2 = 0 Solving 18 + 16x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.8571428571 + 0.7619047619x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + 0.7619047619x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + 0.7619047619x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + 0.7619047619x + x2 = 0 + -0.8571428571 0.7619047619x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 0.7619047619x + x2 = -0.8571428571 The x term is 0.7619047619x. Take half its coefficient (0.380952381). Square it (0.1451247166) and add it to both sides. Add '0.1451247166' to each side of the equation. 0.7619047619x + 0.1451247166 + x2 = -0.8571428571 + 0.1451247166 Reorder the terms: 0.1451247166 + 0.7619047619x + x2 = -0.8571428571 + 0.1451247166 Combine like terms: -0.8571428571 + 0.1451247166 = -0.7120181405 0.1451247166 + 0.7619047619x + x2 = -0.7120181405 Factor a perfect square on the left side: (x + 0.380952381)(x + 0.380952381) = -0.7120181405 Can't calculate square root of the right side. The solution to this equation could not be determined.
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