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Simplifying (x + 8) * 2(x + -3) * 7(x + 2) * 3(x + -6) * 5 = 0 Reorder the terms: (8 + x) * 2(x + -3) * 7(x + 2) * 3(x + -6) * 5 = 0 Reorder the terms: (8 + x) * 2(-3 + x) * 7(x + 2) * 3(x + -6) * 5 = 0 Reorder the terms: (8 + x) * 2(-3 + x) * 7(2 + x) * 3(x + -6) * 5 = 0 Reorder the terms: (8 + x) * 2(-3 + x) * 7(2 + x) * 3(-6 + x) * 5 = 0 Reorder the terms for easier multiplication: 2 * 7 * 3 * 5(8 + x)(-3 + x)(2 + x)(-6 + x) = 0 Multiply 2 * 7 14 * 3 * 5(8 + x)(-3 + x)(2 + x)(-6 + x) = 0 Multiply 14 * 3 42 * 5(8 + x)(-3 + x)(2 + x)(-6 + x) = 0 Multiply 42 * 5 210(8 + x)(-3 + x)(2 + x)(-6 + x) = 0 Multiply (8 + x) * (-3 + x) 210(8(-3 + x) + x(-3 + x))(2 + x)(-6 + x) = 0 210((-3 * 8 + x * 8) + x(-3 + x))(2 + x)(-6 + x) = 0 210((-24 + 8x) + x(-3 + x))(2 + x)(-6 + x) = 0 210(-24 + 8x + (-3 * x + x * x))(2 + x)(-6 + x) = 0 210(-24 + 8x + (-3x + x2))(2 + x)(-6 + x) = 0 Combine like terms: 8x + -3x = 5x 210(-24 + 5x + x2)(2 + x)(-6 + x) = 0 Multiply (-24 + 5x + x2) * (2 + x) 210(-24(2 + x) + 5x * (2 + x) + x2(2 + x))(-6 + x) = 0 210((2 * -24 + x * -24) + 5x * (2 + x) + x2(2 + x))(-6 + x) = 0 210((-48 + -24x) + 5x * (2 + x) + x2(2 + x))(-6 + x) = 0 210(-48 + -24x + (2 * 5x + x * 5x) + x2(2 + x))(-6 + x) = 0 210(-48 + -24x + (10x + 5x2) + x2(2 + x))(-6 + x) = 0 210(-48 + -24x + 10x + 5x2 + (2 * x2 + x * x2))(-6 + x) = 0 210(-48 + -24x + 10x + 5x2 + (2x2 + x3))(-6 + x) = 0 Combine like terms: -24x + 10x = -14x 210(-48 + -14x + 5x2 + 2x2 + x3)(-6 + x) = 0 Combine like terms: 5x2 + 2x2 = 7x2 210(-48 + -14x + 7x2 + x3)(-6 + x) = 0 Multiply (-48 + -14x + 7x2 + x3) * (-6 + x) 210(-48(-6 + x) + -14x * (-6 + x) + 7x2 * (-6 + x) + x3(-6 + x)) = 0 210((-6 * -48 + x * -48) + -14x * (-6 + x) + 7x2 * (-6 + x) + x3(-6 + x)) = 0 210((288 + -48x) + -14x * (-6 + x) + 7x2 * (-6 + x) + x3(-6 + x)) = 0 210(288 + -48x + (-6 * -14x + x * -14x) + 7x2 * (-6 + x) + x3(-6 + x)) = 0 210(288 + -48x + (84x + -14x2) + 7x2 * (-6 + x) + x3(-6 + x)) = 0 210(288 + -48x + 84x + -14x2 + (-6 * 7x2 + x * 7x2) + x3(-6 + x)) = 0 210(288 + -48x + 84x + -14x2 + (-42x2 + 7x3) + x3(-6 + x)) = 0 210(288 + -48x + 84x + -14x2 + -42x2 + 7x3 + (-6 * x3 + x * x3)) = 0 210(288 + -48x + 84x + -14x2 + -42x2 + 7x3 + (-6x3 + x4)) = 0 Combine like terms: -48x + 84x = 36x 210(288 + 36x + -14x2 + -42x2 + 7x3 + -6x3 + x4) = 0 Combine like terms: -14x2 + -42x2 = -56x2 210(288 + 36x + -56x2 + 7x3 + -6x3 + x4) = 0 Combine like terms: 7x3 + -6x3 = 1x3 210(288 + 36x + -56x2 + 1x3 + x4) = 0 (288 * 210 + 36x * 210 + -56x2 * 210 + 1x3 * 210 + x4 * 210) = 0 (60480 + 7560x + -11760x2 + 210x3 + 210x4) = 0 Solving 60480 + 7560x + -11760x2 + 210x3 + 210x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '210'. 210(288 + 36x + -56x2 + x3 + x4) = 0 Ignore the factor 210.Subproblem 1
Set the factor '(288 + 36x + -56x2 + x3 + x4)' equal to zero and attempt to solve: Simplifying 288 + 36x + -56x2 + x3 + x4 = 0 Solving 288 + 36x + -56x2 + x3 + x4 = 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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