X^3-7x^2+2x-15=x^2+1

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Solution for X^3-7x^2+2x-15=x^2+1 equation:


Simplifying
X3 + -7x2 + 2x + -15 = x2 + 1

Reorder the terms:
-15 + X3 + 2x + -7x2 = x2 + 1

Reorder the terms:
-15 + X3 + 2x + -7x2 = 1 + x2

Solving
-15 + X3 + 2x + -7x2 = 1 + x2

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + X3 + 2x + 15 + -7x2 = 1 + 15 + x2

Reorder the terms:
-15 + 15 + X3 + 2x + -7x2 = 1 + 15 + x2

Combine like terms: -15 + 15 = 0
0 + X3 + 2x + -7x2 = 1 + 15 + x2
X3 + 2x + -7x2 = 1 + 15 + x2

Combine like terms: 1 + 15 = 16
X3 + 2x + -7x2 = 16 + x2

Add '-2x' to each side of the equation.
X3 + 2x + -2x + -7x2 = 16 + -2x + x2

Combine like terms: 2x + -2x = 0
X3 + 0 + -7x2 = 16 + -2x + x2
X3 + -7x2 = 16 + -2x + x2

Add '7x2' to each side of the equation.
X3 + -7x2 + 7x2 = 16 + -2x + x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
X3 + 0 = 16 + -2x + x2 + 7x2
X3 = 16 + -2x + x2 + 7x2

Combine like terms: x2 + 7x2 = 8x2
X3 = 16 + -2x + 8x2

Simplifying
X3 = 16 + -2x + 8x2

Reorder the terms:
-16 + X3 + 2x + -8x2 = 16 + -2x + 8x2 + -16 + 2x + -8x2

Reorder the terms:
-16 + X3 + 2x + -8x2 = 16 + -16 + -2x + 2x + 8x2 + -8x2

Combine like terms: 16 + -16 = 0
-16 + X3 + 2x + -8x2 = 0 + -2x + 2x + 8x2 + -8x2
-16 + X3 + 2x + -8x2 = -2x + 2x + 8x2 + -8x2

Combine like terms: -2x + 2x = 0
-16 + X3 + 2x + -8x2 = 0 + 8x2 + -8x2
-16 + X3 + 2x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-16 + X3 + 2x + -8x2 = 0

The solution to this equation could not be determined.

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