(5x^3+3x^2+4x+5)(5x+5)=

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Solution for (5x^3+3x^2+4x+5)(5x+5)= equation: 


Simplifying
(5x3 + 3x2 + 4x + 5)(5x + 5) = 0

Reorder the terms:
(5 + 4x + 3x2 + 5x3)(5x + 5) = 0

Reorder the terms:
(5 + 4x + 3x2 + 5x3)(5 + 5x) = 0

Multiply (5 + 4x + 3x2 + 5x3) * (5 + 5x)
(5(5 + 5x) + 4x * (5 + 5x) + 3x2 * (5 + 5x) + 5x3 * (5 + 5x)) = 0
((5 * 5 + 5x * 5) + 4x * (5 + 5x) + 3x2 * (5 + 5x) + 5x3 * (5 + 5x)) = 0
((25 + 25x) + 4x * (5 + 5x) + 3x2 * (5 + 5x) + 5x3 * (5 + 5x)) = 0
(25 + 25x + (5 * 4x + 5x * 4x) + 3x2 * (5 + 5x) + 5x3 * (5 + 5x)) = 0
(25 + 25x + (20x + 20x2) + 3x2 * (5 + 5x) + 5x3 * (5 + 5x)) = 0
(25 + 25x + 20x + 20x2 + (5 * 3x2 + 5x * 3x2) + 5x3 * (5 + 5x)) = 0
(25 + 25x + 20x + 20x2 + (15x2 + 15x3) + 5x3 * (5 + 5x)) = 0
(25 + 25x + 20x + 20x2 + 15x2 + 15x3 + (5 * 5x3 + 5x * 5x3)) = 0
(25 + 25x + 20x + 20x2 + 15x2 + 15x3 + (25x3 + 25x4)) = 0

Combine like terms: 25x + 20x = 45x
(25 + 45x + 20x2 + 15x2 + 15x3 + 25x3 + 25x4) = 0

Combine like terms: 20x2 + 15x2 = 35x2
(25 + 45x + 35x2 + 15x3 + 25x3 + 25x4) = 0

Combine like terms: 15x3 + 25x3 = 40x3
(25 + 45x + 35x2 + 40x3 + 25x4) = 0

Solving
25 + 45x + 35x2 + 40x3 + 25x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + 9x + 7x2 + 8x3 + 5x4) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + 9x + 7x2 + 8x3 + 5x4)' equal to zero and attempt to solve:

Simplifying
5 + 9x + 7x2 + 8x3 + 5x4 = 0

Solving
5 + 9x + 7x2 + 8x3 + 5x4 = 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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