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Simplifying 12x2 = -4x + -7 Reorder the terms: 12x2 = -7 + -4x Solving 12x2 = -7 + -4x Solving for variable 'x'. Reorder the terms: 7 + 4x + 12x2 = -7 + -4x + 7 + 4x Reorder the terms: 7 + 4x + 12x2 = -7 + 7 + -4x + 4x Combine like terms: -7 + 7 = 0 7 + 4x + 12x2 = 0 + -4x + 4x 7 + 4x + 12x2 = -4x + 4x Combine like terms: -4x + 4x = 0 7 + 4x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.5833333333 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.5833333333' to each side of the equation. 0.5833333333 + 0.3333333333x + -0.5833333333 + x2 = 0 + -0.5833333333 Reorder the terms: 0.5833333333 + -0.5833333333 + 0.3333333333x + x2 = 0 + -0.5833333333 Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000 0.0000000000 + 0.3333333333x + x2 = 0 + -0.5833333333 0.3333333333x + x2 = 0 + -0.5833333333 Combine like terms: 0 + -0.5833333333 = -0.5833333333 0.3333333333x + x2 = -0.5833333333 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 = -0.5833333333 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = -0.5833333333 + 0.02777777779 Combine like terms: -0.5833333333 + 0.02777777779 = -0.55555555551 0.02777777779 + 0.3333333333x + x2 = -0.55555555551 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = -0.55555555551 Can't calculate square root of the right side. The solution to this equation could not be determined.
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