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Simplifying 6x2 = -2x + -7 Reorder the terms: 6x2 = -7 + -2x Solving 6x2 = -7 + -2x Solving for variable 'x'. Reorder the terms: 7 + 2x + 6x2 = -7 + -2x + 7 + 2x Reorder the terms: 7 + 2x + 6x2 = -7 + 7 + -2x + 2x Combine like terms: -7 + 7 = 0 7 + 2x + 6x2 = 0 + -2x + 2x 7 + 2x + 6x2 = -2x + 2x Combine like terms: -2x + 2x = 0 7 + 2x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 0.3333333333x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 0.3333333333x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 0.3333333333x + x2 = 0 + -1.166666667 0.3333333333x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 0.3333333333x + x2 = -1.166666667 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 = -1.166666667 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = -1.166666667 + 0.02777777779 Combine like terms: -1.166666667 + 0.02777777779 = -1.13888888921 0.02777777779 + 0.3333333333x + x2 = -1.13888888921 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = -1.13888888921 Can't calculate square root of the right side. The solution to this equation could not be determined.
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