(5x^3+3x^2+4x+5)(5x-5)=0

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Solution for (5x^3+3x^2+4x+5)(5x-5)=0 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 = 5x
(-25 + 5x + 20x2 + -15x2 + 15x3 + -25x3 + 25x4) = 0

Combine like terms: 20x2 + -15x2 = 5x2
(-25 + 5x + 5x2 + 15x3 + -25x3 + 25x4) = 0

Combine like terms: 15x3 + -25x3 = -10x3
(-25 + 5x + 5x2 + -10x3 + 25x4) = 0

Solving
-25 + 5x + 5x2 + -10x3 + 25x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-5 + x + x2 + -2x3 + 5x4) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-5 + x + x2 + -2x3 + 5x4)' equal to zero and attempt to solve:

Simplifying
-5 + x + x2 + -2x3 + 5x4 = 0

Solving
-5 + x + x2 + -2x3 + 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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