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Simplifying (7x2 + 3x + -1) + (2x2 + 4x + 5) = 0 Reorder the terms: (-1 + 3x + 7x2) + (2x2 + 4x + 5) = 0 Remove parenthesis around (-1 + 3x + 7x2) -1 + 3x + 7x2 + (2x2 + 4x + 5) = 0 Reorder the terms: -1 + 3x + 7x2 + (5 + 4x + 2x2) = 0 Remove parenthesis around (5 + 4x + 2x2) -1 + 3x + 7x2 + 5 + 4x + 2x2 = 0 Reorder the terms: -1 + 5 + 3x + 4x + 7x2 + 2x2 = 0 Combine like terms: -1 + 5 = 4 4 + 3x + 4x + 7x2 + 2x2 = 0 Combine like terms: 3x + 4x = 7x 4 + 7x + 7x2 + 2x2 = 0 Combine like terms: 7x2 + 2x2 = 9x2 4 + 7x + 9x2 = 0 Solving 4 + 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'. 0.4444444444 + 0.7777777778x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + 0.7777777778x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + 0.7777777778x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + 0.7777777778x + x2 = 0 + -0.4444444444 0.7777777778x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 0.7777777778x + x2 = -0.4444444444 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 = -0.4444444444 + 0.1512345679 Reorder the terms: 0.1512345679 + 0.7777777778x + x2 = -0.4444444444 + 0.1512345679 Combine like terms: -0.4444444444 + 0.1512345679 = -0.2932098765 0.1512345679 + 0.7777777778x + x2 = -0.2932098765 Factor a perfect square on the left side: (x + 0.3888888889)(x + 0.3888888889) = -0.2932098765 Can't calculate square root of the right side. The solution to this equation could not be determined.
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