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Simplifying (x + 2)(x + 2)(x + 2) = x3 + -2x Reorder the terms: (2 + x)(x + 2)(x + 2) = x3 + -2x Reorder the terms: (2 + x)(2 + x)(x + 2) = x3 + -2x Reorder the terms: (2 + x)(2 + x)(2 + x) = x3 + -2x Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x))(2 + x) = x3 + -2x ((2 * 2 + x * 2) + x(2 + x))(2 + x) = x3 + -2x ((4 + 2x) + x(2 + x))(2 + x) = x3 + -2x (4 + 2x + (2 * x + x * x))(2 + x) = x3 + -2x (4 + 2x + (2x + x2))(2 + x) = x3 + -2x Combine like terms: 2x + 2x = 4x (4 + 4x + x2)(2 + x) = x3 + -2x Multiply (4 + 4x + x2) * (2 + x) (4(2 + x) + 4x * (2 + x) + x2(2 + x)) = x3 + -2x ((2 * 4 + x * 4) + 4x * (2 + x) + x2(2 + x)) = x3 + -2x ((8 + 4x) + 4x * (2 + x) + x2(2 + x)) = x3 + -2x (8 + 4x + (2 * 4x + x * 4x) + x2(2 + x)) = x3 + -2x (8 + 4x + (8x + 4x2) + x2(2 + x)) = x3 + -2x (8 + 4x + 8x + 4x2 + (2 * x2 + x * x2)) = x3 + -2x (8 + 4x + 8x + 4x2 + (2x2 + x3)) = x3 + -2x Combine like terms: 4x + 8x = 12x (8 + 12x + 4x2 + 2x2 + x3) = x3 + -2x Combine like terms: 4x2 + 2x2 = 6x2 (8 + 12x + 6x2 + x3) = x3 + -2x Reorder the terms: 8 + 12x + 6x2 + x3 = -2x + x3 Add '-1x3' to each side of the equation. 8 + 12x + 6x2 + x3 + -1x3 = -2x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 8 + 12x + 6x2 + 0 = -2x + x3 + -1x3 8 + 12x + 6x2 = -2x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 8 + 12x + 6x2 = -2x + 0 8 + 12x + 6x2 = -2x Solving 8 + 12x + 6x2 = -2x Solving for variable 'x'. Reorder the terms: 8 + 12x + 2x + 6x2 = -2x + 2x Combine like terms: 12x + 2x = 14x 8 + 14x + 6x2 = -2x + 2x Combine like terms: -2x + 2x = 0 8 + 14x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 7x + 3x2) = 0 Factor a trinomial. 2((4 + 3x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.333333333, -1}
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