(-x^2-8x+4)-(-3x^2-2x-7)=2x^2-6x+11

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Solution for (-x^2-8x+4)-(-3x^2-2x-7)=2x^2-6x+11 equation: 


Simplifying
(-1x2 + -8x + 4) + -1(-3x2 + -2x + -7) = 2x2 + -6x + 11

Reorder the terms:
(4 + -8x + -1x2) + -1(-3x2 + -2x + -7) = 2x2 + -6x + 11

Remove parenthesis around (4 + -8x + -1x2)
4 + -8x + -1x2 + -1(-3x2 + -2x + -7) = 2x2 + -6x + 11

Reorder the terms:
4 + -8x + -1x2 + -1(-7 + -2x + -3x2) = 2x2 + -6x + 11
4 + -8x + -1x2 + (-7 * -1 + -2x * -1 + -3x2 * -1) = 2x2 + -6x + 11
4 + -8x + -1x2 + (7 + 2x + 3x2) = 2x2 + -6x + 11

Reorder the terms:
4 + 7 + -8x + 2x + -1x2 + 3x2 = 2x2 + -6x + 11

Combine like terms: 4 + 7 = 11
11 + -8x + 2x + -1x2 + 3x2 = 2x2 + -6x + 11

Combine like terms: -8x + 2x = -6x
11 + -6x + -1x2 + 3x2 = 2x2 + -6x + 11

Combine like terms: -1x2 + 3x2 = 2x2
11 + -6x + 2x2 = 2x2 + -6x + 11

Reorder the terms:
11 + -6x + 2x2 = 11 + -6x + 2x2

Add '-11' to each side of the equation.
11 + -6x + -11 + 2x2 = 11 + -6x + -11 + 2x2

Reorder the terms:
11 + -11 + -6x + 2x2 = 11 + -6x + -11 + 2x2

Combine like terms: 11 + -11 = 0
0 + -6x + 2x2 = 11 + -6x + -11 + 2x2
-6x + 2x2 = 11 + -6x + -11 + 2x2

Reorder the terms:
-6x + 2x2 = 11 + -11 + -6x + 2x2

Combine like terms: 11 + -11 = 0
-6x + 2x2 = 0 + -6x + 2x2
-6x + 2x2 = -6x + 2x2

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

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

Combine like terms: -6x + 6x = 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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