(x^4+5x^3-4x^2+7x)(x-4)=0

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Solution for (x^4+5x^3-4x^2+7x)(x-4)=0 equation: 


Simplifying
(x4 + 5x3 + -4x2 + 7x)(x + -4) = 0

Reorder the terms:
(7x + -4x2 + 5x3 + x4)(x + -4) = 0

Reorder the terms:
(7x + -4x2 + 5x3 + x4)(-4 + x) = 0

Multiply (7x + -4x2 + 5x3 + x4) * (-4 + x)
(7x * (-4 + x) + -4x2 * (-4 + x) + 5x3 * (-4 + x) + x4(-4 + x)) = 0
((-4 * 7x + x * 7x) + -4x2 * (-4 + x) + 5x3 * (-4 + x) + x4(-4 + x)) = 0
((-28x + 7x2) + -4x2 * (-4 + x) + 5x3 * (-4 + x) + x4(-4 + x)) = 0
(-28x + 7x2 + (-4 * -4x2 + x * -4x2) + 5x3 * (-4 + x) + x4(-4 + x)) = 0
(-28x + 7x2 + (16x2 + -4x3) + 5x3 * (-4 + x) + x4(-4 + x)) = 0
(-28x + 7x2 + 16x2 + -4x3 + (-4 * 5x3 + x * 5x3) + x4(-4 + x)) = 0
(-28x + 7x2 + 16x2 + -4x3 + (-20x3 + 5x4) + x4(-4 + x)) = 0
(-28x + 7x2 + 16x2 + -4x3 + -20x3 + 5x4 + (-4 * x4 + x * x4)) = 0
(-28x + 7x2 + 16x2 + -4x3 + -20x3 + 5x4 + (-4x4 + x5)) = 0

Combine like terms: 7x2 + 16x2 = 23x2
(-28x + 23x2 + -4x3 + -20x3 + 5x4 + -4x4 + x5) = 0

Combine like terms: -4x3 + -20x3 = -24x3
(-28x + 23x2 + -24x3 + 5x4 + -4x4 + x5) = 0

Combine like terms: 5x4 + -4x4 = 1x4
(-28x + 23x2 + -24x3 + 1x4 + x5) = 0

Solving
-28x + 23x2 + -24x3 + 1x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-28 + 23x + -24x2 + x3 + x4) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-28 + 23x + -24x2 + x3 + x4)' equal to zero and attempt to solve:

Simplifying
-28 + 23x + -24x2 + x3 + x4 = 0

Solving
-28 + 23x + -24x2 + x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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