(2x^2-8x+6)-(x^2-3x+5)=x^2-5x+1

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Solution for (2x^2-8x+6)-(x^2-3x+5)=x^2-5x+1 equation:


Simplifying
(2x2 + -8x + 6) + -1(x2 + -3x + 5) = x2 + -5x + 1

Reorder the terms:
(6 + -8x + 2x2) + -1(x2 + -3x + 5) = x2 + -5x + 1

Remove parenthesis around (6 + -8x + 2x2)
6 + -8x + 2x2 + -1(x2 + -3x + 5) = x2 + -5x + 1

Reorder the terms:
6 + -8x + 2x2 + -1(5 + -3x + x2) = x2 + -5x + 1
6 + -8x + 2x2 + (5 * -1 + -3x * -1 + x2 * -1) = x2 + -5x + 1
6 + -8x + 2x2 + (-5 + 3x + -1x2) = x2 + -5x + 1

Reorder the terms:
6 + -5 + -8x + 3x + 2x2 + -1x2 = x2 + -5x + 1

Combine like terms: 6 + -5 = 1
1 + -8x + 3x + 2x2 + -1x2 = x2 + -5x + 1

Combine like terms: -8x + 3x = -5x
1 + -5x + 2x2 + -1x2 = x2 + -5x + 1

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

Reorder the terms:
1 + -5x + 1x2 = 1 + -5x + x2

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

Reorder the terms:
1 + -1 + -5x + 1x2 = 1 + -5x + -1 + x2

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

Reorder the terms:
-5x + 1x2 = 1 + -1 + -5x + x2

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

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

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

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

Solving
1x2 = x2

Solving for variable 'x'.

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

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

Combine like terms: 1x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.

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