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

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


Simplifying
(x + 4)((x2) + -3x + 2) * 5 = 5(x + 4)

Reorder the terms:
(4 + x)((x2) + -3x + 2) * 5 = 5(x + 4)
(4 + x)(x2 + -3x + 2) * 5 = 5(x + 4)

Reorder the terms:
(4 + x)(2 + -3x + x2) * 5 = 5(x + 4)

Reorder the terms for easier multiplication:
5(4 + x)(2 + -3x + x2) = 5(x + 4)

Multiply (4 + x) * (2 + -3x + x2)
5(4(2 + -3x + x2) + x(2 + -3x + x2)) = 5(x + 4)
5((2 * 4 + -3x * 4 + x2 * 4) + x(2 + -3x + x2)) = 5(x + 4)
5((8 + -12x + 4x2) + x(2 + -3x + x2)) = 5(x + 4)
5(8 + -12x + 4x2 + (2 * x + -3x * x + x2 * x)) = 5(x + 4)
5(8 + -12x + 4x2 + (2x + -3x2 + x3)) = 5(x + 4)

Reorder the terms:
5(8 + -12x + 2x + 4x2 + -3x2 + x3) = 5(x + 4)

Combine like terms: -12x + 2x = -10x
5(8 + -10x + 4x2 + -3x2 + x3) = 5(x + 4)

Combine like terms: 4x2 + -3x2 = 1x2
5(8 + -10x + 1x2 + x3) = 5(x + 4)
(8 * 5 + -10x * 5 + 1x2 * 5 + x3 * 5) = 5(x + 4)
(40 + -50x + 5x2 + 5x3) = 5(x + 4)

Reorder the terms:
40 + -50x + 5x2 + 5x3 = 5(4 + x)
40 + -50x + 5x2 + 5x3 = (4 * 5 + x * 5)
40 + -50x + 5x2 + 5x3 = (20 + 5x)

Solving
40 + -50x + 5x2 + 5x3 = 20 + 5x

Solving for variable 'x'.

Reorder the terms:
40 + -20 + -50x + -5x + 5x2 + 5x3 = 20 + 5x + -20 + -5x

Combine like terms: 40 + -20 = 20
20 + -50x + -5x + 5x2 + 5x3 = 20 + 5x + -20 + -5x

Combine like terms: -50x + -5x = -55x
20 + -55x + 5x2 + 5x3 = 20 + 5x + -20 + -5x

Reorder the terms:
20 + -55x + 5x2 + 5x3 = 20 + -20 + 5x + -5x

Combine like terms: 20 + -20 = 0
20 + -55x + 5x2 + 5x3 = 0 + 5x + -5x
20 + -55x + 5x2 + 5x3 = 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -55x + 5x2 + 5x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + -11x + x2 + x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(4 + -11x + x2 + x3)' equal to zero and attempt to solve:

Simplifying
4 + -11x + x2 + x3 = 0

Solving
4 + -11x + x2 + x3 = 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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