X^2-2x+1=2x^2-7x-5

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


Simplifying
X2 + -2x + 1 = 2x2 + -7x + -5

Reorder the terms:
1 + X2 + -2x = 2x2 + -7x + -5

Reorder the terms:
1 + X2 + -2x = -5 + -7x + 2x2

Solving
1 + X2 + -2x = -5 + -7x + 2x2

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X2 + -1 + -2x = -5 + -7x + -1 + 2x2

Reorder the terms:
1 + -1 + X2 + -2x = -5 + -7x + -1 + 2x2

Combine like terms: 1 + -1 = 0
0 + X2 + -2x = -5 + -7x + -1 + 2x2
X2 + -2x = -5 + -7x + -1 + 2x2

Reorder the terms:
X2 + -2x = -5 + -1 + -7x + 2x2

Combine like terms: -5 + -1 = -6
X2 + -2x = -6 + -7x + 2x2

Add '2x' to each side of the equation.
X2 + -2x + 2x = -6 + -7x + 2x + 2x2

Combine like terms: -2x + 2x = 0
X2 + 0 = -6 + -7x + 2x + 2x2
X2 = -6 + -7x + 2x + 2x2

Combine like terms: -7x + 2x = -5x
X2 = -6 + -5x + 2x2

Simplifying
X2 = -6 + -5x + 2x2

Reorder the terms:
6 + X2 + 5x + -2x2 = -6 + -5x + 2x2 + 6 + 5x + -2x2

Reorder the terms:
6 + X2 + 5x + -2x2 = -6 + 6 + -5x + 5x + 2x2 + -2x2

Combine like terms: -6 + 6 = 0
6 + X2 + 5x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2
6 + X2 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2

Combine like terms: -5x + 5x = 0
6 + X2 + 5x + -2x2 = 0 + 2x2 + -2x2
6 + X2 + 5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + X2 + 5x + -2x2 = 0

The solution to this equation could not be determined.

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