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Simplifying 3(2x + -4)(-1 + x) = -7 + 2(2x + 2) + x + x + -20 + x Reorder the terms: 3(-4 + 2x)(-1 + x) = -7 + 2(2x + 2) + x + x + -20 + x Multiply (-4 + 2x) * (-1 + x) 3(-4(-1 + x) + 2x * (-1 + x)) = -7 + 2(2x + 2) + x + x + -20 + x 3((-1 * -4 + x * -4) + 2x * (-1 + x)) = -7 + 2(2x + 2) + x + x + -20 + x 3((4 + -4x) + 2x * (-1 + x)) = -7 + 2(2x + 2) + x + x + -20 + x 3(4 + -4x + (-1 * 2x + x * 2x)) = -7 + 2(2x + 2) + x + x + -20 + x 3(4 + -4x + (-2x + 2x2)) = -7 + 2(2x + 2) + x + x + -20 + x Combine like terms: -4x + -2x = -6x 3(4 + -6x + 2x2) = -7 + 2(2x + 2) + x + x + -20 + x (4 * 3 + -6x * 3 + 2x2 * 3) = -7 + 2(2x + 2) + x + x + -20 + x (12 + -18x + 6x2) = -7 + 2(2x + 2) + x + x + -20 + x Reorder the terms: 12 + -18x + 6x2 = -7 + 2(2 + 2x) + x + x + -20 + x 12 + -18x + 6x2 = -7 + (2 * 2 + 2x * 2) + x + x + -20 + x 12 + -18x + 6x2 = -7 + (4 + 4x) + x + x + -20 + x Reorder the terms: 12 + -18x + 6x2 = -7 + 4 + -20 + 4x + x + x + x Combine like terms: -7 + 4 = -3 12 + -18x + 6x2 = -3 + -20 + 4x + x + x + x Combine like terms: -3 + -20 = -23 12 + -18x + 6x2 = -23 + 4x + x + x + x Combine like terms: 4x + x = 5x 12 + -18x + 6x2 = -23 + 5x + x + x Combine like terms: 5x + x = 6x 12 + -18x + 6x2 = -23 + 6x + x Combine like terms: 6x + x = 7x 12 + -18x + 6x2 = -23 + 7x Solving 12 + -18x + 6x2 = -23 + 7x Solving for variable 'x'. Reorder the terms: 12 + 23 + -18x + -7x + 6x2 = -23 + 7x + 23 + -7x Combine like terms: 12 + 23 = 35 35 + -18x + -7x + 6x2 = -23 + 7x + 23 + -7x Combine like terms: -18x + -7x = -25x 35 + -25x + 6x2 = -23 + 7x + 23 + -7x Reorder the terms: 35 + -25x + 6x2 = -23 + 23 + 7x + -7x Combine like terms: -23 + 23 = 0 35 + -25x + 6x2 = 0 + 7x + -7x 35 + -25x + 6x2 = 7x + -7x Combine like terms: 7x + -7x = 0 35 + -25x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 5.833333333 + -4.166666667x + x2 = 0 Move the constant term to the right: Add '-5.833333333' to each side of the equation. 5.833333333 + -4.166666667x + -5.833333333 + x2 = 0 + -5.833333333 Reorder the terms: 5.833333333 + -5.833333333 + -4.166666667x + x2 = 0 + -5.833333333 Combine like terms: 5.833333333 + -5.833333333 = 0.000000000 0.000000000 + -4.166666667x + x2 = 0 + -5.833333333 -4.166666667x + x2 = 0 + -5.833333333 Combine like terms: 0 + -5.833333333 = -5.833333333 -4.166666667x + x2 = -5.833333333 The x term is -4.166666667x. Take half its coefficient (-2.083333334). Square it (4.340277781) and add it to both sides. Add '4.340277781' to each side of the equation. -4.166666667x + 4.340277781 + x2 = -5.833333333 + 4.340277781 Reorder the terms: 4.340277781 + -4.166666667x + x2 = -5.833333333 + 4.340277781 Combine like terms: -5.833333333 + 4.340277781 = -1.493055552 4.340277781 + -4.166666667x + x2 = -1.493055552 Factor a perfect square on the left side: (x + -2.083333334)(x + -2.083333334) = -1.493055552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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