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Simplifying (9x2 + -7x + 19) = 0 Reorder the terms: (19 + -7x + 9x2) = 0 Remove parenthesis around (19 + -7x + 9x2) 19 + -7x + 9x2 = 0 Solving 19 + -7x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.111111111 + -0.7777777778x + x2 = 0 Move the constant term to the right: Add '-2.111111111' to each side of the equation. 2.111111111 + -0.7777777778x + -2.111111111 + x2 = 0 + -2.111111111 Reorder the terms: 2.111111111 + -2.111111111 + -0.7777777778x + x2 = 0 + -2.111111111 Combine like terms: 2.111111111 + -2.111111111 = 0.000000000 0.000000000 + -0.7777777778x + x2 = 0 + -2.111111111 -0.7777777778x + x2 = 0 + -2.111111111 Combine like terms: 0 + -2.111111111 = -2.111111111 -0.7777777778x + x2 = -2.111111111 The x term is -0.7777777778x. Take half its coefficient (-0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. -0.7777777778x + 0.1512345679 + x2 = -2.111111111 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778x + x2 = -2.111111111 + 0.1512345679 Combine like terms: -2.111111111 + 0.1512345679 = -1.9598765431 0.1512345679 + -0.7777777778x + x2 = -1.9598765431 Factor a perfect square on the left side: (x + -0.3888888889)(x + -0.3888888889) = -1.9598765431 Can't calculate square root of the right side. The solution to this equation could not be determined.
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