(2x^2+13x+11)-(x^2+8x+5)=(x^2-8x+15)

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Solution for (2x^2+13x+11)-(x^2+8x+5)=(x^2-8x+15) equation: 


Simplifying
(2x2 + 13x + 11) + -1(x2 + 8x + 5) = (x2 + -8x + 15)

Reorder the terms:
(11 + 13x + 2x2) + -1(x2 + 8x + 5) = (x2 + -8x + 15)

Remove parenthesis around (11 + 13x + 2x2)
11 + 13x + 2x2 + -1(x2 + 8x + 5) = (x2 + -8x + 15)

Reorder the terms:
11 + 13x + 2x2 + -1(5 + 8x + x2) = (x2 + -8x + 15)
11 + 13x + 2x2 + (5 * -1 + 8x * -1 + x2 * -1) = (x2 + -8x + 15)
11 + 13x + 2x2 + (-5 + -8x + -1x2) = (x2 + -8x + 15)

Reorder the terms:
11 + -5 + 13x + -8x + 2x2 + -1x2 = (x2 + -8x + 15)

Combine like terms: 11 + -5 = 6
6 + 13x + -8x + 2x2 + -1x2 = (x2 + -8x + 15)

Combine like terms: 13x + -8x = 5x
6 + 5x + 2x2 + -1x2 = (x2 + -8x + 15)

Combine like terms: 2x2 + -1x2 = 1x2
6 + 5x + 1x2 = (x2 + -8x + 15)

Reorder the terms:
6 + 5x + 1x2 = (15 + -8x + x2)

Remove parenthesis around (15 + -8x + x2)
6 + 5x + 1x2 = 15 + -8x + x2

Solving
6 + 5x + 1x2 = 15 + -8x + x2

Solving for variable 'x'.

Reorder the terms:
6 + -15 + 5x + 8x + 1x2 + -1x2 = 15 + -8x + x2 + -15 + 8x + -1x2

Combine like terms: 6 + -15 = -9
-9 + 5x + 8x + 1x2 + -1x2 = 15 + -8x + x2 + -15 + 8x + -1x2

Combine like terms: 5x + 8x = 13x
-9 + 13x + 1x2 + -1x2 = 15 + -8x + x2 + -15 + 8x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-9 + 13x + 0 = 15 + -8x + x2 + -15 + 8x + -1x2
-9 + 13x = 15 + -8x + x2 + -15 + 8x + -1x2

Reorder the terms:
-9 + 13x = 15 + -15 + -8x + 8x + x2 + -1x2

Combine like terms: 15 + -15 = 0
-9 + 13x = 0 + -8x + 8x + x2 + -1x2
-9 + 13x = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-9 + 13x = 0 + x2 + -1x2
-9 + 13x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 13x = 0

The solution to this equation could not be determined.

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