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Simplifying (6x + -2)(x + 3)(5x + 8) = 0 Reorder the terms: (-2 + 6x)(x + 3)(5x + 8) = 0 Reorder the terms: (-2 + 6x)(3 + x)(5x + 8) = 0 Reorder the terms: (-2 + 6x)(3 + x)(8 + 5x) = 0 Multiply (-2 + 6x) * (3 + x) (-2(3 + x) + 6x * (3 + x))(8 + 5x) = 0 ((3 * -2 + x * -2) + 6x * (3 + x))(8 + 5x) = 0 ((-6 + -2x) + 6x * (3 + x))(8 + 5x) = 0 (-6 + -2x + (3 * 6x + x * 6x))(8 + 5x) = 0 (-6 + -2x + (18x + 6x2))(8 + 5x) = 0 Combine like terms: -2x + 18x = 16x (-6 + 16x + 6x2)(8 + 5x) = 0 Multiply (-6 + 16x + 6x2) * (8 + 5x) (-6(8 + 5x) + 16x * (8 + 5x) + 6x2 * (8 + 5x)) = 0 ((8 * -6 + 5x * -6) + 16x * (8 + 5x) + 6x2 * (8 + 5x)) = 0 ((-48 + -30x) + 16x * (8 + 5x) + 6x2 * (8 + 5x)) = 0 (-48 + -30x + (8 * 16x + 5x * 16x) + 6x2 * (8 + 5x)) = 0 (-48 + -30x + (128x + 80x2) + 6x2 * (8 + 5x)) = 0 (-48 + -30x + 128x + 80x2 + (8 * 6x2 + 5x * 6x2)) = 0 (-48 + -30x + 128x + 80x2 + (48x2 + 30x3)) = 0 Combine like terms: -30x + 128x = 98x (-48 + 98x + 80x2 + 48x2 + 30x3) = 0 Combine like terms: 80x2 + 48x2 = 128x2 (-48 + 98x + 128x2 + 30x3) = 0 Solving -48 + 98x + 128x2 + 30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 49x + 64x2 + 15x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + 49x + 64x2 + 15x3)' equal to zero and attempt to solve: Simplifying -24 + 49x + 64x2 + 15x3 = 0 Solving -24 + 49x + 64x2 + 15x3 = 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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