x^2-5x+(k+6)=0

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Solution for x^2-5x+(k+6)=0 equation:


Simplifying
x2 + -5x + (k + 6) = 0

Reorder the terms:
x2 + -5x + (6 + k) = 0

Remove parenthesis around (6 + k)
x2 + -5x + 6 + k = 0

Reorder the terms:
6 + k + -5x + x2 = 0

Solving
6 + k + -5x + x2 = 0

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + k + -5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + k + -5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + k + -5x + x2 = 0 + -6
k + -5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
k + -5x + x2 = -6

Add '5x' to each side of the equation.
k + -5x + 5x + x2 = -6 + 5x

Combine like terms: -5x + 5x = 0
k + 0 + x2 = -6 + 5x
k + x2 = -6 + 5x

Add '-1x2' to each side of the equation.
k + x2 + -1x2 = -6 + 5x + -1x2

Combine like terms: x2 + -1x2 = 0
k + 0 = -6 + 5x + -1x2
k = -6 + 5x + -1x2

Simplifying
k = -6 + 5x + -1x2

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