(8x^3+20x^2+36)(2x+6)=

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Solution for (8x^3+20x^2+36)(2x+6)= equation:


Simplifying
(8x3 + 20x2 + 36)(2x + 6) = 0

Reorder the terms:
(36 + 20x2 + 8x3)(2x + 6) = 0

Reorder the terms:
(36 + 20x2 + 8x3)(6 + 2x) = 0

Multiply (36 + 20x2 + 8x3) * (6 + 2x)
(36(6 + 2x) + 20x2 * (6 + 2x) + 8x3 * (6 + 2x)) = 0
((6 * 36 + 2x * 36) + 20x2 * (6 + 2x) + 8x3 * (6 + 2x)) = 0
((216 + 72x) + 20x2 * (6 + 2x) + 8x3 * (6 + 2x)) = 0
(216 + 72x + (6 * 20x2 + 2x * 20x2) + 8x3 * (6 + 2x)) = 0
(216 + 72x + (120x2 + 40x3) + 8x3 * (6 + 2x)) = 0
(216 + 72x + 120x2 + 40x3 + (6 * 8x3 + 2x * 8x3)) = 0
(216 + 72x + 120x2 + 40x3 + (48x3 + 16x4)) = 0

Combine like terms: 40x3 + 48x3 = 88x3
(216 + 72x + 120x2 + 88x3 + 16x4) = 0

Solving
216 + 72x + 120x2 + 88x3 + 16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(27 + 9x + 15x2 + 11x3 + 2x4) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(27 + 9x + 15x2 + 11x3 + 2x4)' equal to zero and attempt to solve: Simplifying 27 + 9x + 15x2 + 11x3 + 2x4 = 0 Solving 27 + 9x + 15x2 + 11x3 + 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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