X^3-5x^2+x=2x^3+7x

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Solution for X^3-5x^2+x=2x^3+7x equation:


Simplifying
X3 + -5x2 + x = 2x3 + 7x

Reorder the terms:
X3 + x + -5x2 = 2x3 + 7x

Reorder the terms:
X3 + x + -5x2 = 7x + 2x3

Solving
X3 + x + -5x2 = 7x + 2x3

Solving for variable 'X'.

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

Add '-1x' to each side of the equation.
X3 + x + -1x + -5x2 = 7x + -1x + 2x3

Combine like terms: x + -1x = 0
X3 + 0 + -5x2 = 7x + -1x + 2x3
X3 + -5x2 = 7x + -1x + 2x3

Combine like terms: 7x + -1x = 6x
X3 + -5x2 = 6x + 2x3

Add '5x2' to each side of the equation.
X3 + -5x2 + 5x2 = 6x + 5x2 + 2x3

Combine like terms: -5x2 + 5x2 = 0
X3 + 0 = 6x + 5x2 + 2x3
X3 = 6x + 5x2 + 2x3

Simplifying
X3 = 6x + 5x2 + 2x3

Reorder the terms:
X3 + -6x + -5x2 + -2x3 = 6x + -6x + 5x2 + -5x2 + 2x3 + -2x3

Combine like terms: 6x + -6x = 0
X3 + -6x + -5x2 + -2x3 = 0 + 5x2 + -5x2 + 2x3 + -2x3
X3 + -6x + -5x2 + -2x3 = 5x2 + -5x2 + 2x3 + -2x3

Combine like terms: 5x2 + -5x2 = 0
X3 + -6x + -5x2 + -2x3 = 0 + 2x3 + -2x3
X3 + -6x + -5x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X3 + -6x + -5x2 + -2x3 = 0

The solution to this equation could not be determined.

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