(X^2-2x+1)-(x^2+6x+9)=0

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Solution for (X^2-2x+1)-(x^2+6x+9)=0 equation:


Simplifying
(X2 + -2x + 1) + -1(x2 + 6x + 9) = 0

Reorder the terms:
(1 + X2 + -2x) + -1(x2 + 6x + 9) = 0

Remove parenthesis around (1 + X2 + -2x)
1 + X2 + -2x + -1(x2 + 6x + 9) = 0

Reorder the terms:
1 + X2 + -2x + -1(9 + 6x + x2) = 0
1 + X2 + -2x + (9 * -1 + 6x * -1 + x2 * -1) = 0
1 + X2 + -2x + (-9 + -6x + -1x2) = 0

Reorder the terms:
1 + -9 + X2 + -2x + -6x + -1x2 = 0

Combine like terms: 1 + -9 = -8
-8 + X2 + -2x + -6x + -1x2 = 0

Combine like terms: -2x + -6x = -8x
-8 + X2 + -8x + -1x2 = 0

Solving
-8 + X2 + -8x + -1x2 = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + X2 + -8x + 8 + -1x2 = 0 + 8

Reorder the terms:
-8 + 8 + X2 + -8x + -1x2 = 0 + 8

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

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

Add '8x' to each side of the equation.
X2 + -8x + 8x + -1x2 = 8 + 8x

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

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = 8 + 8x + x2

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

Simplifying
X2 = 8 + 8x + x2

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

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

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

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

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

The solution to this equation could not be determined.

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