(5k-k+7)-(k^2+10k+1)=-k^2-6k+6

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Solution for (5k-k+7)-(k^2+10k+1)=-k^2-6k+6 equation: 


Simplifying
(5k + -1k + 7) + -1(k2 + 10k + 1) = -1k2 + -6k + 6

Reorder the terms:
(7 + 5k + -1k) + -1(k2 + 10k + 1) = -1k2 + -6k + 6

Combine like terms: 5k + -1k = 4k
(7 + 4k) + -1(k2 + 10k + 1) = -1k2 + -6k + 6

Remove parenthesis around (7 + 4k)
7 + 4k + -1(k2 + 10k + 1) = -1k2 + -6k + 6

Reorder the terms:
7 + 4k + -1(1 + 10k + k2) = -1k2 + -6k + 6
7 + 4k + (1 * -1 + 10k * -1 + k2 * -1) = -1k2 + -6k + 6
7 + 4k + (-1 + -10k + -1k2) = -1k2 + -6k + 6

Reorder the terms:
7 + -1 + 4k + -10k + -1k2 = -1k2 + -6k + 6

Combine like terms: 7 + -1 = 6
6 + 4k + -10k + -1k2 = -1k2 + -6k + 6

Combine like terms: 4k + -10k = -6k
6 + -6k + -1k2 = -1k2 + -6k + 6

Reorder the terms:
6 + -6k + -1k2 = 6 + -6k + -1k2

Add '-6' to each side of the equation.
6 + -6k + -6 + -1k2 = 6 + -6k + -6 + -1k2

Reorder the terms:
6 + -6 + -6k + -1k2 = 6 + -6k + -6 + -1k2

Combine like terms: 6 + -6 = 0
0 + -6k + -1k2 = 6 + -6k + -6 + -1k2
-6k + -1k2 = 6 + -6k + -6 + -1k2

Reorder the terms:
-6k + -1k2 = 6 + -6 + -6k + -1k2

Combine like terms: 6 + -6 = 0
-6k + -1k2 = 0 + -6k + -1k2
-6k + -1k2 = -6k + -1k2

Add '6k' to each side of the equation.
-6k + 6k + -1k2 = -6k + 6k + -1k2

Combine like terms: -6k + 6k = 0
0 + -1k2 = -6k + 6k + -1k2
-1k2 = -6k + 6k + -1k2

Combine like terms: -6k + 6k = 0
-1k2 = 0 + -1k2
-1k2 = -1k2

Add 'k2' to each side of the equation.
-1k2 + k2 = -1k2 + k2

Combine like terms: -1k2 + k2 = 0
0 = -1k2 + k2

Combine like terms: -1k2 + k2 = 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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