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Simplifying 48 = (4x)(x + 1)(4 + -1x) Remove parenthesis around (4x) 48 = 4x(x + 1)(4 + -1x) Reorder the terms: 48 = 4x(1 + x)(4 + -1x) Multiply (1 + x) * (4 + -1x) 48 = 4x(1(4 + -1x) + x(4 + -1x)) 48 = 4x((4 * 1 + -1x * 1) + x(4 + -1x)) 48 = 4x((4 + -1x) + x(4 + -1x)) 48 = 4x(4 + -1x + (4 * x + -1x * x)) 48 = 4x(4 + -1x + (4x + -1x2)) Combine like terms: -1x + 4x = 3x 48 = 4x(4 + 3x + -1x2) 48 = (4 * 4x + 3x * 4x + -1x2 * 4x) 48 = (16x + 12x2 + -4x3) Solving 48 = 16x + 12x2 + -4x3 Solving for variable 'x'. Reorder the terms: 48 + -16x + -12x2 + 4x3 = 16x + -16x + 12x2 + -12x2 + -4x3 + 4x3 Combine like terms: 16x + -16x = 0 48 + -16x + -12x2 + 4x3 = 0 + 12x2 + -12x2 + -4x3 + 4x3 48 + -16x + -12x2 + 4x3 = 12x2 + -12x2 + -4x3 + 4x3 Combine like terms: 12x2 + -12x2 = 0 48 + -16x + -12x2 + 4x3 = 0 + -4x3 + 4x3 48 + -16x + -12x2 + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 48 + -16x + -12x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(12 + -4x + -3x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(12 + -4x + -3x2 + x3)' equal to zero and attempt to solve: Simplifying 12 + -4x + -3x2 + x3 = 0 Solving 12 + -4x + -3x2 + 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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