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Simplifying 4x(x + 2)(x + 2)(x + 1) = 0 Reorder the terms: 4x(2 + x)(x + 2)(x + 1) = 0 Reorder the terms: 4x(2 + x)(2 + x)(x + 1) = 0 Reorder the terms: 4x(2 + x)(2 + x)(1 + x) = 0 Multiply (2 + x) * (2 + x) 4x(2(2 + x) + x(2 + x))(1 + x) = 0 4x((2 * 2 + x * 2) + x(2 + x))(1 + x) = 0 4x((4 + 2x) + x(2 + x))(1 + x) = 0 4x(4 + 2x + (2 * x + x * x))(1 + x) = 0 4x(4 + 2x + (2x + x2))(1 + x) = 0 Combine like terms: 2x + 2x = 4x 4x(4 + 4x + x2)(1 + x) = 0 Multiply (4 + 4x + x2) * (1 + x) 4x(4(1 + x) + 4x * (1 + x) + x2(1 + x)) = 0 4x((1 * 4 + x * 4) + 4x * (1 + x) + x2(1 + x)) = 0 4x((4 + 4x) + 4x * (1 + x) + x2(1 + x)) = 0 4x(4 + 4x + (1 * 4x + x * 4x) + x2(1 + x)) = 0 4x(4 + 4x + (4x + 4x2) + x2(1 + x)) = 0 4x(4 + 4x + 4x + 4x2 + (1 * x2 + x * x2)) = 0 4x(4 + 4x + 4x + 4x2 + (1x2 + x3)) = 0 Combine like terms: 4x + 4x = 8x 4x(4 + 8x + 4x2 + 1x2 + x3) = 0 Combine like terms: 4x2 + 1x2 = 5x2 4x(4 + 8x + 5x2 + x3) = 0 (4 * 4x + 8x * 4x + 5x2 * 4x + x3 * 4x) = 0 (16x + 32x2 + 20x3 + 4x4) = 0 Solving 16x + 32x2 + 20x3 + 4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(4 + 8x + 5x2 + x3) = 0 Ignore the factor 4.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 '(4 + 8x + 5x2 + x3)' equal to zero and attempt to solve: Simplifying 4 + 8x + 5x2 + x3 = 0 Solving 4 + 8x + 5x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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