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Simplifying 3x + -1(3x + 2)(x + -1) = 8 Reorder the terms: 3x + -1(2 + 3x)(x + -1) = 8 Reorder the terms: 3x + -1(2 + 3x)(-1 + x) = 8 Multiply (2 + 3x) * (-1 + x) 3x + -1(2(-1 + x) + 3x * (-1 + x)) = 8 3x + -1((-1 * 2 + x * 2) + 3x * (-1 + x)) = 8 3x + -1((-2 + 2x) + 3x * (-1 + x)) = 8 3x + -1(-2 + 2x + (-1 * 3x + x * 3x)) = 8 3x + -1(-2 + 2x + (-3x + 3x2)) = 8 Combine like terms: 2x + -3x = -1x 3x + -1(-2 + -1x + 3x2) = 8 3x + (-2 * -1 + -1x * -1 + 3x2 * -1) = 8 3x + (2 + 1x + -3x2) = 8 Reorder the terms: 2 + 3x + 1x + -3x2 = 8 Combine like terms: 3x + 1x = 4x 2 + 4x + -3x2 = 8 Solving 2 + 4x + -3x2 = 8 Solving for variable 'x'. Reorder the terms: 2 + -8 + 4x + -3x2 = 8 + -8 Combine like terms: 2 + -8 = -6 -6 + 4x + -3x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -6 + 4x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.333333333x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.333333333x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.333333333x + x2 = 0 + -2 -1.333333333x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.333333333x + x2 = -2 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -2 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -2 + 0.4444444442 Combine like terms: -2 + 0.4444444442 = -1.5555555558 0.4444444442 + -1.333333333x + x2 = -1.5555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -1.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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