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Simplifying (x + 2)(3x + 10)(2x + 30) = 0 Reorder the terms: (2 + x)(3x + 10)(2x + 30) = 0 Reorder the terms: (2 + x)(10 + 3x)(2x + 30) = 0 Reorder the terms: (2 + x)(10 + 3x)(30 + 2x) = 0 Multiply (2 + x) * (10 + 3x) (2(10 + 3x) + x(10 + 3x))(30 + 2x) = 0 ((10 * 2 + 3x * 2) + x(10 + 3x))(30 + 2x) = 0 ((20 + 6x) + x(10 + 3x))(30 + 2x) = 0 (20 + 6x + (10 * x + 3x * x))(30 + 2x) = 0 (20 + 6x + (10x + 3x2))(30 + 2x) = 0 Combine like terms: 6x + 10x = 16x (20 + 16x + 3x2)(30 + 2x) = 0 Multiply (20 + 16x + 3x2) * (30 + 2x) (20(30 + 2x) + 16x * (30 + 2x) + 3x2 * (30 + 2x)) = 0 ((30 * 20 + 2x * 20) + 16x * (30 + 2x) + 3x2 * (30 + 2x)) = 0 ((600 + 40x) + 16x * (30 + 2x) + 3x2 * (30 + 2x)) = 0 (600 + 40x + (30 * 16x + 2x * 16x) + 3x2 * (30 + 2x)) = 0 (600 + 40x + (480x + 32x2) + 3x2 * (30 + 2x)) = 0 (600 + 40x + 480x + 32x2 + (30 * 3x2 + 2x * 3x2)) = 0 (600 + 40x + 480x + 32x2 + (90x2 + 6x3)) = 0 Combine like terms: 40x + 480x = 520x (600 + 520x + 32x2 + 90x2 + 6x3) = 0 Combine like terms: 32x2 + 90x2 = 122x2 (600 + 520x + 122x2 + 6x3) = 0 Solving 600 + 520x + 122x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(300 + 260x + 61x2 + 3x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(300 + 260x + 61x2 + 3x3)' equal to zero and attempt to solve: Simplifying 300 + 260x + 61x2 + 3x3 = 0 Solving 300 + 260x + 61x2 + 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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