(X^4-9x^2+6x)-(3x^3+x^2-2x+5)=

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Solution for (X^4-9x^2+6x)-(3x^3+x^2-2x+5)= equation:


Simplifying
(X4 + -9x2 + 6x) + -1(3x3 + x2 + -2x + 5) = 0

Reorder the terms:
(X4 + 6x + -9x2) + -1(3x3 + x2 + -2x + 5) = 0

Remove parenthesis around (X4 + 6x + -9x2)
X4 + 6x + -9x2 + -1(3x3 + x2 + -2x + 5) = 0

Reorder the terms:
X4 + 6x + -9x2 + -1(5 + -2x + x2 + 3x3) = 0
X4 + 6x + -9x2 + (5 * -1 + -2x * -1 + x2 * -1 + 3x3 * -1) = 0
X4 + 6x + -9x2 + (-5 + 2x + -1x2 + -3x3) = 0

Reorder the terms:
-5 + X4 + 6x + 2x + -9x2 + -1x2 + -3x3 = 0

Combine like terms: 6x + 2x = 8x
-5 + X4 + 8x + -9x2 + -1x2 + -3x3 = 0

Combine like terms: -9x2 + -1x2 = -10x2
-5 + X4 + 8x + -10x2 + -3x3 = 0

Solving
-5 + X4 + 8x + -10x2 + -3x3 = 0

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + X4 + 8x + -10x2 + 5 + -3x3 = 0 + 5

Reorder the terms:
-5 + 5 + X4 + 8x + -10x2 + -3x3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X4 + 8x + -10x2 + -3x3 = 0 + 5
X4 + 8x + -10x2 + -3x3 = 0 + 5

Combine like terms: 0 + 5 = 5
X4 + 8x + -10x2 + -3x3 = 5

Add '-8x' to each side of the equation.
X4 + 8x + -10x2 + -8x + -3x3 = 5 + -8x

Reorder the terms:
X4 + 8x + -8x + -10x2 + -3x3 = 5 + -8x

Combine like terms: 8x + -8x = 0
X4 + 0 + -10x2 + -3x3 = 5 + -8x
X4 + -10x2 + -3x3 = 5 + -8x

Add '10x2' to each side of the equation.
X4 + -10x2 + 10x2 + -3x3 = 5 + -8x + 10x2

Combine like terms: -10x2 + 10x2 = 0
X4 + 0 + -3x3 = 5 + -8x + 10x2
X4 + -3x3 = 5 + -8x + 10x2

Add '3x3' to each side of the equation.
X4 + -3x3 + 3x3 = 5 + -8x + 10x2 + 3x3

Combine like terms: -3x3 + 3x3 = 0
X4 + 0 = 5 + -8x + 10x2 + 3x3
X4 = 5 + -8x + 10x2 + 3x3

Simplifying
X4 = 5 + -8x + 10x2 + 3x3

Reorder the terms:
-5 + X4 + 8x + -10x2 + -3x3 = 5 + -8x + 10x2 + 3x3 + -5 + 8x + -10x2 + -3x3

Reorder the terms:
-5 + X4 + 8x + -10x2 + -3x3 = 5 + -5 + -8x + 8x + 10x2 + -10x2 + 3x3 + -3x3

Combine like terms: 5 + -5 = 0
-5 + X4 + 8x + -10x2 + -3x3 = 0 + -8x + 8x + 10x2 + -10x2 + 3x3 + -3x3
-5 + X4 + 8x + -10x2 + -3x3 = -8x + 8x + 10x2 + -10x2 + 3x3 + -3x3

Combine like terms: -8x + 8x = 0
-5 + X4 + 8x + -10x2 + -3x3 = 0 + 10x2 + -10x2 + 3x3 + -3x3
-5 + X4 + 8x + -10x2 + -3x3 = 10x2 + -10x2 + 3x3 + -3x3

Combine like terms: 10x2 + -10x2 = 0
-5 + X4 + 8x + -10x2 + -3x3 = 0 + 3x3 + -3x3
-5 + X4 + 8x + -10x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-5 + X4 + 8x + -10x2 + -3x3 = 0

The solution to this equation could not be determined.

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