(X^4-5x^2+4x)-(9x^3+x^2-2x+3)=

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Solution for (X^4-5x^2+4x)-(9x^3+x^2-2x+3)= equation:


Simplifying
(X4 + -5x2 + 4x) + -1(9x3 + x2 + -2x + 3) = 0

Reorder the terms:
(X4 + 4x + -5x2) + -1(9x3 + x2 + -2x + 3) = 0

Remove parenthesis around (X4 + 4x + -5x2)
X4 + 4x + -5x2 + -1(9x3 + x2 + -2x + 3) = 0

Reorder the terms:
X4 + 4x + -5x2 + -1(3 + -2x + x2 + 9x3) = 0
X4 + 4x + -5x2 + (3 * -1 + -2x * -1 + x2 * -1 + 9x3 * -1) = 0
X4 + 4x + -5x2 + (-3 + 2x + -1x2 + -9x3) = 0

Reorder the terms:
-3 + X4 + 4x + 2x + -5x2 + -1x2 + -9x3 = 0

Combine like terms: 4x + 2x = 6x
-3 + X4 + 6x + -5x2 + -1x2 + -9x3 = 0

Combine like terms: -5x2 + -1x2 = -6x2
-3 + X4 + 6x + -6x2 + -9x3 = 0

Solving
-3 + X4 + 6x + -6x2 + -9x3 = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X4 + 6x + -6x2 + 3 + -9x3 = 0 + 3

Reorder the terms:
-3 + 3 + X4 + 6x + -6x2 + -9x3 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + X4 + 6x + -6x2 + -9x3 = 0 + 3
X4 + 6x + -6x2 + -9x3 = 0 + 3

Combine like terms: 0 + 3 = 3
X4 + 6x + -6x2 + -9x3 = 3

Add '-6x' to each side of the equation.
X4 + 6x + -6x2 + -6x + -9x3 = 3 + -6x

Reorder the terms:
X4 + 6x + -6x + -6x2 + -9x3 = 3 + -6x

Combine like terms: 6x + -6x = 0
X4 + 0 + -6x2 + -9x3 = 3 + -6x
X4 + -6x2 + -9x3 = 3 + -6x

Add '6x2' to each side of the equation.
X4 + -6x2 + 6x2 + -9x3 = 3 + -6x + 6x2

Combine like terms: -6x2 + 6x2 = 0
X4 + 0 + -9x3 = 3 + -6x + 6x2
X4 + -9x3 = 3 + -6x + 6x2

Add '9x3' to each side of the equation.
X4 + -9x3 + 9x3 = 3 + -6x + 6x2 + 9x3

Combine like terms: -9x3 + 9x3 = 0
X4 + 0 = 3 + -6x + 6x2 + 9x3
X4 = 3 + -6x + 6x2 + 9x3

Simplifying
X4 = 3 + -6x + 6x2 + 9x3

Reorder the terms:
-3 + X4 + 6x + -6x2 + -9x3 = 3 + -6x + 6x2 + 9x3 + -3 + 6x + -6x2 + -9x3

Reorder the terms:
-3 + X4 + 6x + -6x2 + -9x3 = 3 + -3 + -6x + 6x + 6x2 + -6x2 + 9x3 + -9x3

Combine like terms: 3 + -3 = 0
-3 + X4 + 6x + -6x2 + -9x3 = 0 + -6x + 6x + 6x2 + -6x2 + 9x3 + -9x3
-3 + X4 + 6x + -6x2 + -9x3 = -6x + 6x + 6x2 + -6x2 + 9x3 + -9x3

Combine like terms: -6x + 6x = 0
-3 + X4 + 6x + -6x2 + -9x3 = 0 + 6x2 + -6x2 + 9x3 + -9x3
-3 + X4 + 6x + -6x2 + -9x3 = 6x2 + -6x2 + 9x3 + -9x3

Combine like terms: 6x2 + -6x2 = 0
-3 + X4 + 6x + -6x2 + -9x3 = 0 + 9x3 + -9x3
-3 + X4 + 6x + -6x2 + -9x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-3 + X4 + 6x + -6x2 + -9x3 = 0

The solution to this equation could not be determined.

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