X^2+6x-7=x^2+2x+1

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Solution for X^2+6x-7=x^2+2x+1 equation:


Simplifying
X2 + 6x + -7 = x2 + 2x + 1

Reorder the terms:
-7 + X2 + 6x = x2 + 2x + 1

Reorder the terms:
-7 + X2 + 6x = 1 + 2x + x2

Solving
-7 + X2 + 6x = 1 + 2x + x2

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + X2 + 7 + 6x = 1 + 2x + 7 + x2

Reorder the terms:
-7 + 7 + X2 + 6x = 1 + 2x + 7 + x2

Combine like terms: -7 + 7 = 0
0 + X2 + 6x = 1 + 2x + 7 + x2
X2 + 6x = 1 + 2x + 7 + x2

Reorder the terms:
X2 + 6x = 1 + 7 + 2x + x2

Combine like terms: 1 + 7 = 8
X2 + 6x = 8 + 2x + x2

Add '-6x' to each side of the equation.
X2 + 6x + -6x = 8 + 2x + -6x + x2

Combine like terms: 6x + -6x = 0
X2 + 0 = 8 + 2x + -6x + x2
X2 = 8 + 2x + -6x + x2

Combine like terms: 2x + -6x = -4x
X2 = 8 + -4x + x2

Simplifying
X2 = 8 + -4x + x2

Reorder the terms:
-8 + X2 + 4x + -1x2 = 8 + -4x + x2 + -8 + 4x + -1x2

Reorder the terms:
-8 + X2 + 4x + -1x2 = 8 + -8 + -4x + 4x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + X2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-8 + X2 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-8 + X2 + 4x + -1x2 = 0 + x2 + -1x2
-8 + X2 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + X2 + 4x + -1x2 = 0

The solution to this equation could not be determined.

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