X^3-7x^2+5=x(x^2-1)+3x^2-2

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Solution for X^3-7x^2+5=x(x^2-1)+3x^2-2 equation: 


Simplifying
X3 + -7x2 + 5 = x(x2 + -1) + 3x2 + -2

Reorder the terms:
5 + X3 + -7x2 = x(x2 + -1) + 3x2 + -2

Reorder the terms:
5 + X3 + -7x2 = x(-1 + x2) + 3x2 + -2
5 + X3 + -7x2 = (-1 * x + x2 * x) + 3x2 + -2
5 + X3 + -7x2 = (-1x + x3) + 3x2 + -2

Reorder the terms:
5 + X3 + -7x2 = -2 + -1x + 3x2 + x3

Solving
5 + X3 + -7x2 = -2 + -1x + 3x2 + x3

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 + X3 + -5 + -7x2 = -2 + -1x + 3x2 + -5 + x3

Reorder the terms:
5 + -5 + X3 + -7x2 = -2 + -1x + 3x2 + -5 + x3

Combine like terms: 5 + -5 = 0
0 + X3 + -7x2 = -2 + -1x + 3x2 + -5 + x3
X3 + -7x2 = -2 + -1x + 3x2 + -5 + x3

Reorder the terms:
X3 + -7x2 = -2 + -5 + -1x + 3x2 + x3

Combine like terms: -2 + -5 = -7
X3 + -7x2 = -7 + -1x + 3x2 + x3

Add '7x2' to each side of the equation.
X3 + -7x2 + 7x2 = -7 + -1x + 3x2 + 7x2 + x3

Combine like terms: -7x2 + 7x2 = 0
X3 + 0 = -7 + -1x + 3x2 + 7x2 + x3
X3 = -7 + -1x + 3x2 + 7x2 + x3

Combine like terms: 3x2 + 7x2 = 10x2
X3 = -7 + -1x + 10x2 + x3

Simplifying
X3 = -7 + -1x + 10x2 + x3

Reorder the terms:
7 + X3 + x + -10x2 + -1x3 = -7 + -1x + 10x2 + x3 + 7 + x + -10x2 + -1x3

Reorder the terms:
7 + X3 + x + -10x2 + -1x3 = -7 + 7 + -1x + x + 10x2 + -10x2 + x3 + -1x3

Combine like terms: -7 + 7 = 0
7 + X3 + x + -10x2 + -1x3 = 0 + -1x + x + 10x2 + -10x2 + x3 + -1x3
7 + X3 + x + -10x2 + -1x3 = -1x + x + 10x2 + -10x2 + x3 + -1x3

Combine like terms: -1x + x = 0
7 + X3 + x + -10x2 + -1x3 = 0 + 10x2 + -10x2 + x3 + -1x3
7 + X3 + x + -10x2 + -1x3 = 10x2 + -10x2 + x3 + -1x3

Combine like terms: 10x2 + -10x2 = 0
7 + X3 + x + -10x2 + -1x3 = 0 + x3 + -1x3
7 + X3 + x + -10x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
7 + X3 + x + -10x2 + -1x3 = 0

The solution to this equation could not be determined.

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