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Simplifying (x + 3)(2x + -4)(3x + 5) = 0 Reorder the terms: (3 + x)(2x + -4)(3x + 5) = 0 Reorder the terms: (3 + x)(-4 + 2x)(3x + 5) = 0 Reorder the terms: (3 + x)(-4 + 2x)(5 + 3x) = 0 Multiply (3 + x) * (-4 + 2x) (3(-4 + 2x) + x(-4 + 2x))(5 + 3x) = 0 ((-4 * 3 + 2x * 3) + x(-4 + 2x))(5 + 3x) = 0 ((-12 + 6x) + x(-4 + 2x))(5 + 3x) = 0 (-12 + 6x + (-4 * x + 2x * x))(5 + 3x) = 0 (-12 + 6x + (-4x + 2x2))(5 + 3x) = 0 Combine like terms: 6x + -4x = 2x (-12 + 2x + 2x2)(5 + 3x) = 0 Multiply (-12 + 2x + 2x2) * (5 + 3x) (-12(5 + 3x) + 2x * (5 + 3x) + 2x2 * (5 + 3x)) = 0 ((5 * -12 + 3x * -12) + 2x * (5 + 3x) + 2x2 * (5 + 3x)) = 0 ((-60 + -36x) + 2x * (5 + 3x) + 2x2 * (5 + 3x)) = 0 (-60 + -36x + (5 * 2x + 3x * 2x) + 2x2 * (5 + 3x)) = 0 (-60 + -36x + (10x + 6x2) + 2x2 * (5 + 3x)) = 0 (-60 + -36x + 10x + 6x2 + (5 * 2x2 + 3x * 2x2)) = 0 (-60 + -36x + 10x + 6x2 + (10x2 + 6x3)) = 0 Combine like terms: -36x + 10x = -26x (-60 + -26x + 6x2 + 10x2 + 6x3) = 0 Combine like terms: 6x2 + 10x2 = 16x2 (-60 + -26x + 16x2 + 6x3) = 0 Solving -60 + -26x + 16x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + -13x + 8x2 + 3x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + -13x + 8x2 + 3x3)' equal to zero and attempt to solve: Simplifying -30 + -13x + 8x2 + 3x3 = 0 Solving -30 + -13x + 8x2 + 3x3 = 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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