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Simplifying x(6x + -4) + 2 = 6(x + -2) + x Reorder the terms: x(-4 + 6x) + 2 = 6(x + -2) + x (-4 * x + 6x * x) + 2 = 6(x + -2) + x (-4x + 6x2) + 2 = 6(x + -2) + x Reorder the terms: 2 + -4x + 6x2 = 6(x + -2) + x Reorder the terms: 2 + -4x + 6x2 = 6(-2 + x) + x 2 + -4x + 6x2 = (-2 * 6 + x * 6) + x 2 + -4x + 6x2 = (-12 + 6x) + x Combine like terms: 6x + x = 7x 2 + -4x + 6x2 = -12 + 7x Solving 2 + -4x + 6x2 = -12 + 7x Solving for variable 'x'. Reorder the terms: 2 + 12 + -4x + -7x + 6x2 = -12 + 7x + 12 + -7x Combine like terms: 2 + 12 = 14 14 + -4x + -7x + 6x2 = -12 + 7x + 12 + -7x Combine like terms: -4x + -7x = -11x 14 + -11x + 6x2 = -12 + 7x + 12 + -7x Reorder the terms: 14 + -11x + 6x2 = -12 + 12 + 7x + -7x Combine like terms: -12 + 12 = 0 14 + -11x + 6x2 = 0 + 7x + -7x 14 + -11x + 6x2 = 7x + -7x Combine like terms: 7x + -7x = 0 14 + -11x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.333333333 + -1.833333333x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + -1.833333333x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + -1.833333333x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + -1.833333333x + x2 = 0 + -2.333333333 -1.833333333x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 -1.833333333x + x2 = -2.333333333 The x term is -1.833333333x. Take half its coefficient (-0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. -1.833333333x + 0.8402777775 + x2 = -2.333333333 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333x + x2 = -2.333333333 + 0.8402777775 Combine like terms: -2.333333333 + 0.8402777775 = -1.4930555555 0.8402777775 + -1.833333333x + x2 = -1.4930555555 Factor a perfect square on the left side: (x + -0.9166666665)(x + -0.9166666665) = -1.4930555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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