2(x*x)+2(k-7)x+6-k=0

Solution for 2(x*x)+2(k-7)x+6-k=0 equation:

Simplifying
2(x * x) + 2(k + -7) * x + 6 + -1k = 0

Multiply x * x
2(x2) + 2(k + -7) * x + 6 + -1k = 0

Reorder the terms:
2x2 + 2(-7 + k) * x + 6 + -1k = 0

Reorder the terms for easier multiplication:
2x2 + 2x(-7 + k) + 6 + -1k = 0
2x2 + (-7 * 2x + k * 2x) + 6 + -1k = 0

Reorder the terms:
2x2 + (2kx + -14x) + 6 + -1k = 0
2x2 + (2kx + -14x) + 6 + -1k = 0

Reorder the terms:
6 + -1k + 2kx + -14x + 2x2 = 0

Solving
6 + -1k + 2kx + -14x + 2x2 = 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 + -1k + 2kx + -14x + -6 + 2x2 = 0 + -6

Reorder the terms:
6 + -6 + -1k + 2kx + -14x + 2x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k + 2kx + -14x + 2x2 = 0 + -6
-1k + 2kx + -14x + 2x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1k + 2kx + -14x + 2x2 = -6

Add '14x' to each side of the equation.
-1k + 2kx + -14x + 14x + 2x2 = -6 + 14x

Combine like terms: -14x + 14x = 0
-1k + 2kx + 0 + 2x2 = -6 + 14x
-1k + 2kx + 2x2 = -6 + 14x

Add '-2x2' to each side of the equation.
-1k + 2kx + 2x2 + -2x2 = -6 + 14x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1k + 2kx + 0 = -6 + 14x + -2x2
-1k + 2kx = -6 + 14x + -2x2

Reorder the terms:
6 + -1k + 2kx + -14x + 2x2 = -6 + 14x + -2x2 + 6 + -14x + 2x2

Reorder the terms:
6 + -1k + 2kx + -14x + 2x2 = -6 + 6 + 14x + -14x + -2x2 + 2x2

Combine like terms: -6 + 6 = 0
6 + -1k + 2kx + -14x + 2x2 = 0 + 14x + -14x + -2x2 + 2x2
6 + -1k + 2kx + -14x + 2x2 = 14x + -14x + -2x2 + 2x2

Combine like terms: 14x + -14x = 0
6 + -1k + 2kx + -14x + 2x2 = 0 + -2x2 + 2x2
6 + -1k + 2kx + -14x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
6 + -1k + 2kx + -14x + 2x2 = 0

The solution to this equation could not be determined.