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Simplifying (2x2 + 6x) + (x2 + -5x + 7) = 0 Reorder the terms: (6x + 2x2) + (x2 + -5x + 7) = 0 Remove parenthesis around (6x + 2x2) 6x + 2x2 + (x2 + -5x + 7) = 0 Reorder the terms: 6x + 2x2 + (7 + -5x + x2) = 0 Remove parenthesis around (7 + -5x + x2) 6x + 2x2 + 7 + -5x + x2 = 0 Reorder the terms: 7 + 6x + -5x + 2x2 + x2 = 0 Combine like terms: 6x + -5x = 1x 7 + 1x + 2x2 + x2 = 0 Combine like terms: 2x2 + x2 = 3x2 7 + 1x + 3x2 = 0 Solving 7 + 1x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.333333333 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + 0.3333333333x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + 0.3333333333x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + 0.3333333333x + x2 = 0 + -2.333333333 0.3333333333x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 0.3333333333x + x2 = -2.333333333 The x term is 0.3333333333x. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333x + 0.02777777779 + x2 = -2.333333333 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = -2.333333333 + 0.02777777779 Combine like terms: -2.333333333 + 0.02777777779 = -2.30555555521 0.02777777779 + 0.3333333333x + x2 = -2.30555555521 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = -2.30555555521 Can't calculate square root of the right side. The solution to this equation could not be determined.
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