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Simplifying 0 = (x + 4)(x + 4)(x + 4) Reorder the terms: 0 = (4 + x)(x + 4)(x + 4) Reorder the terms: 0 = (4 + x)(4 + x)(x + 4) Reorder the terms: 0 = (4 + x)(4 + x)(4 + x) Multiply (4 + x) * (4 + x) 0 = (4(4 + x) + x(4 + x))(4 + x) 0 = ((4 * 4 + x * 4) + x(4 + x))(4 + x) 0 = ((16 + 4x) + x(4 + x))(4 + x) 0 = (16 + 4x + (4 * x + x * x))(4 + x) 0 = (16 + 4x + (4x + x2))(4 + x) Combine like terms: 4x + 4x = 8x 0 = (16 + 8x + x2)(4 + x) Multiply (16 + 8x + x2) * (4 + x) 0 = (16(4 + x) + 8x * (4 + x) + x2(4 + x)) 0 = ((4 * 16 + x * 16) + 8x * (4 + x) + x2(4 + x)) 0 = ((64 + 16x) + 8x * (4 + x) + x2(4 + x)) 0 = (64 + 16x + (4 * 8x + x * 8x) + x2(4 + x)) 0 = (64 + 16x + (32x + 8x2) + x2(4 + x)) 0 = (64 + 16x + 32x + 8x2 + (4 * x2 + x * x2)) 0 = (64 + 16x + 32x + 8x2 + (4x2 + x3)) Combine like terms: 16x + 32x = 48x 0 = (64 + 48x + 8x2 + 4x2 + x3) Combine like terms: 8x2 + 4x2 = 12x2 0 = (64 + 48x + 12x2 + x3) Solving 0 = 64 + 48x + 12x2 + x3 Solving for variable 'x'. Combine like terms: 0 + -64 = -64 -64 + -48x + -12x2 + -1x3 = 64 + 48x + 12x2 + x3 + -64 + -48x + -12x2 + -1x3 Reorder the terms: -64 + -48x + -12x2 + -1x3 = 64 + -64 + 48x + -48x + 12x2 + -12x2 + x3 + -1x3 Combine like terms: 64 + -64 = 0 -64 + -48x + -12x2 + -1x3 = 0 + 48x + -48x + 12x2 + -12x2 + x3 + -1x3 -64 + -48x + -12x2 + -1x3 = 48x + -48x + 12x2 + -12x2 + x3 + -1x3 Combine like terms: 48x + -48x = 0 -64 + -48x + -12x2 + -1x3 = 0 + 12x2 + -12x2 + x3 + -1x3 -64 + -48x + -12x2 + -1x3 = 12x2 + -12x2 + x3 + -1x3 Combine like terms: 12x2 + -12x2 = 0 -64 + -48x + -12x2 + -1x3 = 0 + x3 + -1x3 -64 + -48x + -12x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -64 + -48x + -12x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(64 + 48x + 12x2 + x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(64 + 48x + 12x2 + x3)' equal to zero and attempt to solve: Simplifying 64 + 48x + 12x2 + x3 = 0 Solving 64 + 48x + 12x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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