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Simplifying 2(x + -7)(3x + 6)(2x + -1)(8)(-42)(x + 12) = 0 Reorder the terms: 2(-7 + x)(3x + 6)(2x + -1)(8)(-42)(x + 12) = 0 Reorder the terms: 2(-7 + x)(6 + 3x)(2x + -1)(8)(-42)(x + 12) = 0 Reorder the terms: 2(-7 + x)(6 + 3x)(-1 + 2x)(8)(-42)(x + 12) = 0 Reorder the terms: 2(-7 + x)(6 + 3x)(-1 + 2x) * 8 * -42(12 + x) = 0 Reorder the terms for easier multiplication: 2 * 8 * -42(-7 + x)(6 + 3x)(-1 + 2x)(12 + x) = 0 Multiply 2 * 8 16 * -42(-7 + x)(6 + 3x)(-1 + 2x)(12 + x) = 0 Multiply 16 * -42 -672(-7 + x)(6 + 3x)(-1 + 2x)(12 + x) = 0 Multiply (-7 + x) * (6 + 3x) -672(-7(6 + 3x) + x(6 + 3x))(-1 + 2x)(12 + x) = 0 -672((6 * -7 + 3x * -7) + x(6 + 3x))(-1 + 2x)(12 + x) = 0 -672((-42 + -21x) + x(6 + 3x))(-1 + 2x)(12 + x) = 0 -672(-42 + -21x + (6 * x + 3x * x))(-1 + 2x)(12 + x) = 0 -672(-42 + -21x + (6x + 3x2))(-1 + 2x)(12 + x) = 0 Combine like terms: -21x + 6x = -15x -672(-42 + -15x + 3x2)(-1 + 2x)(12 + x) = 0 Multiply (-42 + -15x + 3x2) * (-1 + 2x) -672(-42(-1 + 2x) + -15x * (-1 + 2x) + 3x2 * (-1 + 2x))(12 + x) = 0 -672((-1 * -42 + 2x * -42) + -15x * (-1 + 2x) + 3x2 * (-1 + 2x))(12 + x) = 0 -672((42 + -84x) + -15x * (-1 + 2x) + 3x2 * (-1 + 2x))(12 + x) = 0 -672(42 + -84x + (-1 * -15x + 2x * -15x) + 3x2 * (-1 + 2x))(12 + x) = 0 -672(42 + -84x + (15x + -30x2) + 3x2 * (-1 + 2x))(12 + x) = 0 -672(42 + -84x + 15x + -30x2 + (-1 * 3x2 + 2x * 3x2))(12 + x) = 0 -672(42 + -84x + 15x + -30x2 + (-3x2 + 6x3))(12 + x) = 0 Combine like terms: -84x + 15x = -69x -672(42 + -69x + -30x2 + -3x2 + 6x3)(12 + x) = 0 Combine like terms: -30x2 + -3x2 = -33x2 -672(42 + -69x + -33x2 + 6x3)(12 + x) = 0 Multiply (42 + -69x + -33x2 + 6x3) * (12 + x) -672(42(12 + x) + -69x * (12 + x) + -33x2 * (12 + x) + 6x3 * (12 + x)) = 0 -672((12 * 42 + x * 42) + -69x * (12 + x) + -33x2 * (12 + x) + 6x3 * (12 + x)) = 0 -672((504 + 42x) + -69x * (12 + x) + -33x2 * (12 + x) + 6x3 * (12 + x)) = 0 -672(504 + 42x + (12 * -69x + x * -69x) + -33x2 * (12 + x) + 6x3 * (12 + x)) = 0 -672(504 + 42x + (-828x + -69x2) + -33x2 * (12 + x) + 6x3 * (12 + x)) = 0 -672(504 + 42x + -828x + -69x2 + (12 * -33x2 + x * -33x2) + 6x3 * (12 + x)) = 0 -672(504 + 42x + -828x + -69x2 + (-396x2 + -33x3) + 6x3 * (12 + x)) = 0 -672(504 + 42x + -828x + -69x2 + -396x2 + -33x3 + (12 * 6x3 + x * 6x3)) = 0 -672(504 + 42x + -828x + -69x2 + -396x2 + -33x3 + (72x3 + 6x4)) = 0 Combine like terms: 42x + -828x = -786x -672(504 + -786x + -69x2 + -396x2 + -33x3 + 72x3 + 6x4) = 0 Combine like terms: -69x2 + -396x2 = -465x2 -672(504 + -786x + -465x2 + -33x3 + 72x3 + 6x4) = 0 Combine like terms: -33x3 + 72x3 = 39x3 -672(504 + -786x + -465x2 + 39x3 + 6x4) = 0 (504 * -672 + -786x * -672 + -465x2 * -672 + 39x3 * -672 + 6x4 * -672) = 0 (-338688 + 528192x + 312480x2 + -26208x3 + -4032x4) = 0 Solving -338688 + 528192x + 312480x2 + -26208x3 + -4032x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2016'. 2016(-168 + 262x + 155x2 + -13x3 + -2x4) = 0 Ignore the factor 2016.Subproblem 1
Set the factor '(-168 + 262x + 155x2 + -13x3 + -2x4)' equal to zero and attempt to solve: Simplifying -168 + 262x + 155x2 + -13x3 + -2x4 = 0 Solving -168 + 262x + 155x2 + -13x3 + -2x4 = 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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