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Simplifying (x + 2)(x + 2)(x + 2) = x3 + 8 + -2x(6x + -1) Reorder the terms: (2 + x)(x + 2)(x + 2) = x3 + 8 + -2x(6x + -1) Reorder the terms: (2 + x)(2 + x)(x + 2) = x3 + 8 + -2x(6x + -1) Reorder the terms: (2 + x)(2 + x)(2 + x) = x3 + 8 + -2x(6x + -1) Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x))(2 + x) = x3 + 8 + -2x(6x + -1) ((2 * 2 + x * 2) + x(2 + x))(2 + x) = x3 + 8 + -2x(6x + -1) ((4 + 2x) + x(2 + x))(2 + x) = x3 + 8 + -2x(6x + -1) (4 + 2x + (2 * x + x * x))(2 + x) = x3 + 8 + -2x(6x + -1) (4 + 2x + (2x + x2))(2 + x) = x3 + 8 + -2x(6x + -1) Combine like terms: 2x + 2x = 4x (4 + 4x + x2)(2 + x) = x3 + 8 + -2x(6x + -1) Multiply (4 + 4x + x2) * (2 + x) (4(2 + x) + 4x * (2 + x) + x2(2 + x)) = x3 + 8 + -2x(6x + -1) ((2 * 4 + x * 4) + 4x * (2 + x) + x2(2 + x)) = x3 + 8 + -2x(6x + -1) ((8 + 4x) + 4x * (2 + x) + x2(2 + x)) = x3 + 8 + -2x(6x + -1) (8 + 4x + (2 * 4x + x * 4x) + x2(2 + x)) = x3 + 8 + -2x(6x + -1) (8 + 4x + (8x + 4x2) + x2(2 + x)) = x3 + 8 + -2x(6x + -1) (8 + 4x + 8x + 4x2 + (2 * x2 + x * x2)) = x3 + 8 + -2x(6x + -1) (8 + 4x + 8x + 4x2 + (2x2 + x3)) = x3 + 8 + -2x(6x + -1) Combine like terms: 4x + 8x = 12x (8 + 12x + 4x2 + 2x2 + x3) = x3 + 8 + -2x(6x + -1) Combine like terms: 4x2 + 2x2 = 6x2 (8 + 12x + 6x2 + x3) = x3 + 8 + -2x(6x + -1) Reorder the terms: 8 + 12x + 6x2 + x3 = x3 + 8 + -2x(-1 + 6x) 8 + 12x + 6x2 + x3 = x3 + 8 + (-1 * -2x + 6x * -2x) 8 + 12x + 6x2 + x3 = x3 + 8 + (2x + -12x2) Reorder the terms: 8 + 12x + 6x2 + x3 = 8 + 2x + -12x2 + x3 Add '-8' to each side of the equation. 8 + 12x + 6x2 + -8 + x3 = 8 + 2x + -12x2 + -8 + x3 Reorder the terms: 8 + -8 + 12x + 6x2 + x3 = 8 + 2x + -12x2 + -8 + x3 Combine like terms: 8 + -8 = 0 0 + 12x + 6x2 + x3 = 8 + 2x + -12x2 + -8 + x3 12x + 6x2 + x3 = 8 + 2x + -12x2 + -8 + x3 Reorder the terms: 12x + 6x2 + x3 = 8 + -8 + 2x + -12x2 + x3 Combine like terms: 8 + -8 = 0 12x + 6x2 + x3 = 0 + 2x + -12x2 + x3 12x + 6x2 + x3 = 2x + -12x2 + x3 Add '-1x3' to each side of the equation. 12x + 6x2 + x3 + -1x3 = 2x + -12x2 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 12x + 6x2 + 0 = 2x + -12x2 + x3 + -1x3 12x + 6x2 = 2x + -12x2 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 12x + 6x2 = 2x + -12x2 + 0 12x + 6x2 = 2x + -12x2 Solving 12x + 6x2 = 2x + -12x2 Solving for variable 'x'. Reorder the terms: 12x + -2x + 6x2 + 12x2 = 2x + -12x2 + -2x + 12x2 Combine like terms: 12x + -2x = 10x 10x + 6x2 + 12x2 = 2x + -12x2 + -2x + 12x2 Combine like terms: 6x2 + 12x2 = 18x2 10x + 18x2 = 2x + -12x2 + -2x + 12x2 Reorder the terms: 10x + 18x2 = 2x + -2x + -12x2 + 12x2 Combine like terms: 2x + -2x = 0 10x + 18x2 = 0 + -12x2 + 12x2 10x + 18x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 10x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + 9x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + 9x)' equal to zero and attempt to solve: Simplifying 5 + 9x = 0 Solving 5 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556Solution
x = {0, -0.5555555556}
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