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Simplifying 48 = 4x(x + 1)(x + -4) Reorder the terms: 48 = 4x(1 + x)(x + -4) Reorder the terms: 48 = 4x(1 + x)(-4 + x) Multiply (1 + x) * (-4 + x) 48 = 4x(1(-4 + x) + x(-4 + x)) 48 = 4x((-4 * 1 + x * 1) + x(-4 + x)) 48 = 4x((-4 + 1x) + x(-4 + x)) 48 = 4x(-4 + 1x + (-4 * x + x * x)) 48 = 4x(-4 + 1x + (-4x + x2)) Combine like terms: 1x + -4x = -3x 48 = 4x(-4 + -3x + x2) 48 = (-4 * 4x + -3x * 4x + x2 * 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 + -1x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(12 + 4x + 3x2 + -1x3)' equal to zero and attempt to solve: Simplifying 12 + 4x + 3x2 + -1x3 = 0 Solving 12 + 4x + 3x2 + -1x3 = 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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