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Simplifying -3x(1 + -2x) + -3(x + -4) = -5 + -4x (1 * -3x + -2x * -3x) + -3(x + -4) = -5 + -4x (-3x + 6x2) + -3(x + -4) = -5 + -4x Reorder the terms: -3x + 6x2 + -3(-4 + x) = -5 + -4x -3x + 6x2 + (-4 * -3 + x * -3) = -5 + -4x -3x + 6x2 + (12 + -3x) = -5 + -4x Reorder the terms: 12 + -3x + -3x + 6x2 = -5 + -4x Combine like terms: -3x + -3x = -6x 12 + -6x + 6x2 = -5 + -4x Solving 12 + -6x + 6x2 = -5 + -4x Solving for variable 'x'. Reorder the terms: 12 + 5 + -6x + 4x + 6x2 = -5 + -4x + 5 + 4x Combine like terms: 12 + 5 = 17 17 + -6x + 4x + 6x2 = -5 + -4x + 5 + 4x Combine like terms: -6x + 4x = -2x 17 + -2x + 6x2 = -5 + -4x + 5 + 4x Reorder the terms: 17 + -2x + 6x2 = -5 + 5 + -4x + 4x Combine like terms: -5 + 5 = 0 17 + -2x + 6x2 = 0 + -4x + 4x 17 + -2x + 6x2 = -4x + 4x Combine like terms: -4x + 4x = 0 17 + -2x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.833333333 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-2.833333333' to each side of the equation. 2.833333333 + -0.3333333333x + -2.833333333 + x2 = 0 + -2.833333333 Reorder the terms: 2.833333333 + -2.833333333 + -0.3333333333x + x2 = 0 + -2.833333333 Combine like terms: 2.833333333 + -2.833333333 = 0.000000000 0.000000000 + -0.3333333333x + x2 = 0 + -2.833333333 -0.3333333333x + x2 = 0 + -2.833333333 Combine like terms: 0 + -2.833333333 = -2.833333333 -0.3333333333x + x2 = -2.833333333 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 = -2.833333333 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -2.833333333 + 0.02777777779 Combine like terms: -2.833333333 + 0.02777777779 = -2.80555555521 0.02777777779 + -0.3333333333x + x2 = -2.80555555521 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -2.80555555521 Can't calculate square root of the right side. The solution to this equation could not be determined.
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