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Simplifying (3x + -9)(2x + 8)(x + 4) = 0 Reorder the terms: (-9 + 3x)(2x + 8)(x + 4) = 0 Reorder the terms: (-9 + 3x)(8 + 2x)(x + 4) = 0 Reorder the terms: (-9 + 3x)(8 + 2x)(4 + x) = 0 Multiply (-9 + 3x) * (8 + 2x) (-9(8 + 2x) + 3x * (8 + 2x))(4 + x) = 0 ((8 * -9 + 2x * -9) + 3x * (8 + 2x))(4 + x) = 0 ((-72 + -18x) + 3x * (8 + 2x))(4 + x) = 0 (-72 + -18x + (8 * 3x + 2x * 3x))(4 + x) = 0 (-72 + -18x + (24x + 6x2))(4 + x) = 0 Combine like terms: -18x + 24x = 6x (-72 + 6x + 6x2)(4 + x) = 0 Multiply (-72 + 6x + 6x2) * (4 + x) (-72(4 + x) + 6x * (4 + x) + 6x2 * (4 + x)) = 0 ((4 * -72 + x * -72) + 6x * (4 + x) + 6x2 * (4 + x)) = 0 ((-288 + -72x) + 6x * (4 + x) + 6x2 * (4 + x)) = 0 (-288 + -72x + (4 * 6x + x * 6x) + 6x2 * (4 + x)) = 0 (-288 + -72x + (24x + 6x2) + 6x2 * (4 + x)) = 0 (-288 + -72x + 24x + 6x2 + (4 * 6x2 + x * 6x2)) = 0 (-288 + -72x + 24x + 6x2 + (24x2 + 6x3)) = 0 Combine like terms: -72x + 24x = -48x (-288 + -48x + 6x2 + 24x2 + 6x3) = 0 Combine like terms: 6x2 + 24x2 = 30x2 (-288 + -48x + 30x2 + 6x3) = 0 Solving -288 + -48x + 30x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-48 + -8x + 5x2 + x3) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-48 + -8x + 5x2 + x3)' equal to zero and attempt to solve: Simplifying -48 + -8x + 5x2 + x3 = 0 Solving -48 + -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. The solution to this equation could not be determined.
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