(X^3+3x^2-x+5)*(-x^2+5)=0

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Solution for (X^3+3x^2-x+5)*(-x^2+5)=0 equation: 


Simplifying
(X3 + 3x2 + -1x + 5)(-1x2 + 5) = 0

Reorder the terms:
(5 + X3 + -1x + 3x2)(-1x2 + 5) = 0

Reorder the terms:
(5 + X3 + -1x + 3x2)(5 + -1x2) = 0

Multiply (5 + X3 + -1x + 3x2) * (5 + -1x2)
(5(5 + -1x2) + X3(5 + -1x2) + -1x * (5 + -1x2) + 3x2 * (5 + -1x2)) = 0
((5 * 5 + -1x2 * 5) + X3(5 + -1x2) + -1x * (5 + -1x2) + 3x2 * (5 + -1x2)) = 0
((25 + -5x2) + X3(5 + -1x2) + -1x * (5 + -1x2) + 3x2 * (5 + -1x2)) = 0
(25 + -5x2 + (5 * X3 + -1x2 * X3) + -1x * (5 + -1x2) + 3x2 * (5 + -1x2)) = 0
(25 + -5x2 + (5X3 + -1x2X3) + -1x * (5 + -1x2) + 3x2 * (5 + -1x2)) = 0
(25 + -5x2 + 5X3 + -1x2X3 + (5 * -1x + -1x2 * -1x) + 3x2 * (5 + -1x2)) = 0
(25 + -5x2 + 5X3 + -1x2X3 + (-5x + 1x3) + 3x2 * (5 + -1x2)) = 0
(25 + -5x2 + 5X3 + -1x2X3 + -5x + 1x3 + (5 * 3x2 + -1x2 * 3x2)) = 0
(25 + -5x2 + 5X3 + -1x2X3 + -5x + 1x3 + (15x2 + -3x4)) = 0

Reorder the terms:
(25 + 5X3 + -5x + -5x2 + 15x2 + -1x2X3 + 1x3 + -3x4) = 0

Combine like terms: -5x2 + 15x2 = 10x2
(25 + 5X3 + -5x + 10x2 + -1x2X3 + 1x3 + -3x4) = 0

Solving
25 + 5X3 + -5x + 10x2 + -1x2X3 + 1x3 + -3x4 = 0

Solving for variable 'X'.

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

Add '-25' to each side of the equation.
25 + 5X3 + -5x + 10x2 + -1x2X3 + 1x3 + -25 + -3x4 = 0 + -25

Reorder the terms:
25 + -25 + 5X3 + -5x + 10x2 + -1x2X3 + 1x3 + -3x4 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 5X3 + -5x + 10x2 + -1x2X3 + 1x3 + -3x4 = 0 + -25
5X3 + -5x + 10x2 + -1x2X3 + 1x3 + -3x4 = 0 + -25

Combine like terms: 0 + -25 = -25
5X3 + -5x + 10x2 + -1x2X3 + 1x3 + -3x4 = -25

Add '5x' to each side of the equation.
5X3 + -5x + 10x2 + -1x2X3 + 1x3 + 5x + -3x4 = -25 + 5x

Reorder the terms:
5X3 + -5x + 5x + 10x2 + -1x2X3 + 1x3 + -3x4 = -25 + 5x

Combine like terms: -5x + 5x = 0
5X3 + 0 + 10x2 + -1x2X3 + 1x3 + -3x4 = -25 + 5x
5X3 + 10x2 + -1x2X3 + 1x3 + -3x4 = -25 + 5x

Add '-10x2' to each side of the equation.
5X3 + 10x2 + -1x2X3 + 1x3 + -10x2 + -3x4 = -25 + 5x + -10x2

Reorder the terms:
5X3 + 10x2 + -10x2 + -1x2X3 + 1x3 + -3x4 = -25 + 5x + -10x2

Combine like terms: 10x2 + -10x2 = 0
5X3 + 0 + -1x2X3 + 1x3 + -3x4 = -25 + 5x + -10x2
5X3 + -1x2X3 + 1x3 + -3x4 = -25 + 5x + -10x2

Add '-1x3' to each side of the equation.
5X3 + -1x2X3 + 1x3 + -1x3 + -3x4 = -25 + 5x + -10x2 + -1x3

Combine like terms: 1x3 + -1x3 = 0
5X3 + -1x2X3 + 0 + -3x4 = -25 + 5x + -10x2 + -1x3
5X3 + -1x2X3 + -3x4 = -25 + 5x + -10x2 + -1x3

Add '3x4' to each side of the equation.
5X3 + -1x2X3 + -3x4 + 3x4 = -25 + 5x + -10x2 + -1x3 + 3x4

Combine like terms: -3x4 + 3x4 = 0
5X3 + -1x2X3 + 0 = -25 + 5x + -10x2 + -1x3 + 3x4
5X3 + -1x2X3 = -25 + 5x + -10x2 + -1x3 + 3x4

Reorder the terms:
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = -25 + 5x + -10x2 + -1x3 + 3x4 + 25 + -5x + 10x2 + x3 + -3x4

Reorder the terms:
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = -25 + 25 + 5x + -5x + -10x2 + 10x2 + -1x3 + x3 + 3x4 + -3x4

Combine like terms: -25 + 25 = 0
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = 0 + 5x + -5x + -10x2 + 10x2 + -1x3 + x3 + 3x4 + -3x4
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = 5x + -5x + -10x2 + 10x2 + -1x3 + x3 + 3x4 + -3x4

Combine like terms: 5x + -5x = 0
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = 0 + -10x2 + 10x2 + -1x3 + x3 + 3x4 + -3x4
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = -10x2 + 10x2 + -1x3 + x3 + 3x4 + -3x4

Combine like terms: -10x2 + 10x2 = 0
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = 0 + -1x3 + x3 + 3x4 + -3x4
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = -1x3 + x3 + 3x4 + -3x4

Combine like terms: -1x3 + x3 = 0
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = 0 + 3x4 + -3x4
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
25 + 5X3 + -5x + 10x2 + -1x2X3 + x3 + -3x4 = 0

The solution to this equation could not be determined.

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