(X^5+7x^4)+(2x^3-28x^2-24x)=0

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Solution for (X^5+7x^4)+(2x^3-28x^2-24x)=0 equation: 


Simplifying
(X5 + 7x4) + (2x3 + -28x2 + -24x) = 0

Remove parenthesis around (X5 + 7x4)
X5 + 7x4 + (2x3 + -28x2 + -24x) = 0

Reorder the terms:
X5 + 7x4 + (-24x + -28x2 + 2x3) = 0

Remove parenthesis around (-24x + -28x2 + 2x3)
X5 + 7x4 + -24x + -28x2 + 2x3 = 0

Reorder the terms:
X5 + -24x + -28x2 + 2x3 + 7x4 = 0

Solving
X5 + -24x + -28x2 + 2x3 + 7x4 = 0

Solving for variable 'X'.

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

Add '24x' to each side of the equation.
X5 + -24x + -28x2 + 2x3 + 24x + 7x4 = 0 + 24x

Reorder the terms:
X5 + -24x + 24x + -28x2 + 2x3 + 7x4 = 0 + 24x

Combine like terms: -24x + 24x = 0
X5 + 0 + -28x2 + 2x3 + 7x4 = 0 + 24x
X5 + -28x2 + 2x3 + 7x4 = 0 + 24x
Remove the zero:
X5 + -28x2 + 2x3 + 7x4 = 24x

Add '28x2' to each side of the equation.
X5 + -28x2 + 2x3 + 28x2 + 7x4 = 24x + 28x2

Reorder the terms:
X5 + -28x2 + 28x2 + 2x3 + 7x4 = 24x + 28x2

Combine like terms: -28x2 + 28x2 = 0
X5 + 0 + 2x3 + 7x4 = 24x + 28x2
X5 + 2x3 + 7x4 = 24x + 28x2

Add '-2x3' to each side of the equation.
X5 + 2x3 + -2x3 + 7x4 = 24x + 28x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X5 + 0 + 7x4 = 24x + 28x2 + -2x3
X5 + 7x4 = 24x + 28x2 + -2x3

Add '-7x4' to each side of the equation.
X5 + 7x4 + -7x4 = 24x + 28x2 + -2x3 + -7x4

Combine like terms: 7x4 + -7x4 = 0
X5 + 0 = 24x + 28x2 + -2x3 + -7x4
X5 = 24x + 28x2 + -2x3 + -7x4

Simplifying
X5 = 24x + 28x2 + -2x3 + -7x4

Reorder the terms:
X5 + -24x + -28x2 + 2x3 + 7x4 = 24x + -24x + 28x2 + -28x2 + -2x3 + 2x3 + -7x4 + 7x4

Combine like terms: 24x + -24x = 0
X5 + -24x + -28x2 + 2x3 + 7x4 = 0 + 28x2 + -28x2 + -2x3 + 2x3 + -7x4 + 7x4
X5 + -24x + -28x2 + 2x3 + 7x4 = 28x2 + -28x2 + -2x3 + 2x3 + -7x4 + 7x4

Combine like terms: 28x2 + -28x2 = 0
X5 + -24x + -28x2 + 2x3 + 7x4 = 0 + -2x3 + 2x3 + -7x4 + 7x4
X5 + -24x + -28x2 + 2x3 + 7x4 = -2x3 + 2x3 + -7x4 + 7x4

Combine like terms: -2x3 + 2x3 = 0
X5 + -24x + -28x2 + 2x3 + 7x4 = 0 + -7x4 + 7x4
X5 + -24x + -28x2 + 2x3 + 7x4 = -7x4 + 7x4

Combine like terms: -7x4 + 7x4 = 0
X5 + -24x + -28x2 + 2x3 + 7x4 = 0

The solution to this equation could not be determined.

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