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Simplifying (2x3 + 10x + 16)(3x2 + 5) * whenx = 2 Reorder the terms: (16 + 10x + 2x3)(3x2 + 5) * whenx = 2 Reorder the terms: (16 + 10x + 2x3)(5 + 3x2) * whenx = 2 Reorder the terms for easier multiplication: ehnwx(16 + 10x + 2x3)(5 + 3x2) = 2 Multiply (16 + 10x + 2x3) * (5 + 3x2) ehnwx(16(5 + 3x2) + 10x * (5 + 3x2) + 2x3 * (5 + 3x2)) = 2 ehnwx((5 * 16 + 3x2 * 16) + 10x * (5 + 3x2) + 2x3 * (5 + 3x2)) = 2 ehnwx((80 + 48x2) + 10x * (5 + 3x2) + 2x3 * (5 + 3x2)) = 2 ehnwx(80 + 48x2 + (5 * 10x + 3x2 * 10x) + 2x3 * (5 + 3x2)) = 2 ehnwx(80 + 48x2 + (50x + 30x3) + 2x3 * (5 + 3x2)) = 2 ehnwx(80 + 48x2 + 50x + 30x3 + (5 * 2x3 + 3x2 * 2x3)) = 2 ehnwx(80 + 48x2 + 50x + 30x3 + (10x3 + 6x5)) = 2 Reorder the terms: ehnwx(80 + 50x + 48x2 + 30x3 + 10x3 + 6x5) = 2 Combine like terms: 30x3 + 10x3 = 40x3 ehnwx(80 + 50x + 48x2 + 40x3 + 6x5) = 2 (80 * ehnwx + 50x * ehnwx + 48x2 * ehnwx + 40x3 * ehnwx + 6x5 * ehnwx) = 2 (80ehnwx + 50ehnwx2 + 48ehnwx3 + 40ehnwx4 + 6ehnwx6) = 2 Solving 80ehnwx + 50ehnwx2 + 48ehnwx3 + 40ehnwx4 + 6ehnwx6 = 2 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Reorder the terms: -2 + 80ehnwx + 50ehnwx2 + 48ehnwx3 + 40ehnwx4 + 6ehnwx6 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 80ehnwx + 50ehnwx2 + 48ehnwx3 + 40ehnwx4 + 6ehnwx6 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6)' equal to zero and attempt to solve: Simplifying -1 + 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6 = 0 Solving -1 + 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6 = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 1 + 3ehnwx6 = 0 + 1 Reorder the terms: -1 + 1 + 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6 = 0 + 1 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6 = 0 + 1 Combine like terms: 0 + 1 = 1 40ehnwx + 25ehnwx2 + 24ehnwx3 + 20ehnwx4 + 3ehnwx6 = 1 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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