(3x^2-7x+2)+(-x^2-3x+1)=2x^2-10x+3

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Solution for (3x^2-7x+2)+(-x^2-3x+1)=2x^2-10x+3 equation: 


Simplifying
(3x2 + -7x + 2) + (-1x2 + -3x + 1) = 2x2 + -10x + 3

Reorder the terms:
(2 + -7x + 3x2) + (-1x2 + -3x + 1) = 2x2 + -10x + 3

Remove parenthesis around (2 + -7x + 3x2)
2 + -7x + 3x2 + (-1x2 + -3x + 1) = 2x2 + -10x + 3

Reorder the terms:
2 + -7x + 3x2 + (1 + -3x + -1x2) = 2x2 + -10x + 3

Remove parenthesis around (1 + -3x + -1x2)
2 + -7x + 3x2 + 1 + -3x + -1x2 = 2x2 + -10x + 3

Reorder the terms:
2 + 1 + -7x + -3x + 3x2 + -1x2 = 2x2 + -10x + 3

Combine like terms: 2 + 1 = 3
3 + -7x + -3x + 3x2 + -1x2 = 2x2 + -10x + 3

Combine like terms: -7x + -3x = -10x
3 + -10x + 3x2 + -1x2 = 2x2 + -10x + 3

Combine like terms: 3x2 + -1x2 = 2x2
3 + -10x + 2x2 = 2x2 + -10x + 3

Reorder the terms:
3 + -10x + 2x2 = 3 + -10x + 2x2

Add '-3' to each side of the equation.
3 + -10x + -3 + 2x2 = 3 + -10x + -3 + 2x2

Reorder the terms:
3 + -3 + -10x + 2x2 = 3 + -10x + -3 + 2x2

Combine like terms: 3 + -3 = 0
0 + -10x + 2x2 = 3 + -10x + -3 + 2x2
-10x + 2x2 = 3 + -10x + -3 + 2x2

Reorder the terms:
-10x + 2x2 = 3 + -3 + -10x + 2x2

Combine like terms: 3 + -3 = 0
-10x + 2x2 = 0 + -10x + 2x2
-10x + 2x2 = -10x + 2x2

Add '10x' to each side of the equation.
-10x + 10x + 2x2 = -10x + 10x + 2x2

Combine like terms: -10x + 10x = 0
0 + 2x2 = -10x + 10x + 2x2
2x2 = -10x + 10x + 2x2

Combine like terms: -10x + 10x = 0
2x2 = 0 + 2x2
2x2 = 2x2

Add '-2x2' to each side of the equation.
2x2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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