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Simplifying (3x + -1)(4 + -2x)(5x + 9) = 0 Reorder the terms: (-1 + 3x)(4 + -2x)(5x + 9) = 0 Reorder the terms: (-1 + 3x)(4 + -2x)(9 + 5x) = 0 Multiply (-1 + 3x) * (4 + -2x) (-1(4 + -2x) + 3x * (4 + -2x))(9 + 5x) = 0 ((4 * -1 + -2x * -1) + 3x * (4 + -2x))(9 + 5x) = 0 ((-4 + 2x) + 3x * (4 + -2x))(9 + 5x) = 0 (-4 + 2x + (4 * 3x + -2x * 3x))(9 + 5x) = 0 (-4 + 2x + (12x + -6x2))(9 + 5x) = 0 Combine like terms: 2x + 12x = 14x (-4 + 14x + -6x2)(9 + 5x) = 0 Multiply (-4 + 14x + -6x2) * (9 + 5x) (-4(9 + 5x) + 14x * (9 + 5x) + -6x2 * (9 + 5x)) = 0 ((9 * -4 + 5x * -4) + 14x * (9 + 5x) + -6x2 * (9 + 5x)) = 0 ((-36 + -20x) + 14x * (9 + 5x) + -6x2 * (9 + 5x)) = 0 (-36 + -20x + (9 * 14x + 5x * 14x) + -6x2 * (9 + 5x)) = 0 (-36 + -20x + (126x + 70x2) + -6x2 * (9 + 5x)) = 0 (-36 + -20x + 126x + 70x2 + (9 * -6x2 + 5x * -6x2)) = 0 (-36 + -20x + 126x + 70x2 + (-54x2 + -30x3)) = 0 Combine like terms: -20x + 126x = 106x (-36 + 106x + 70x2 + -54x2 + -30x3) = 0 Combine like terms: 70x2 + -54x2 = 16x2 (-36 + 106x + 16x2 + -30x3) = 0 Solving -36 + 106x + 16x2 + -30x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 53x + 8x2 + -15x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 53x + 8x2 + -15x3)' equal to zero and attempt to solve: Simplifying -18 + 53x + 8x2 + -15x3 = 0 Solving -18 + 53x + 8x2 + -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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