x*x-(4k+2)x+7k+2=0

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Solution for x*x-(4k+2)x+7k+2=0 equation: 


Simplifying
x * x + -1(4k + 2) * x + 7k + 2 = 0

Multiply x * x
x2 + -1(4k + 2) * x + 7k + 2 = 0

Reorder the terms:
x2 + -1(2 + 4k) * x + 7k + 2 = 0

Reorder the terms for easier multiplication:
x2 + -1x(2 + 4k) + 7k + 2 = 0
x2 + (2 * -1x + 4k * -1x) + 7k + 2 = 0

Reorder the terms:
x2 + (-4kx + -2x) + 7k + 2 = 0
x2 + (-4kx + -2x) + 7k + 2 = 0

Reorder the terms:
2 + 7k + -4kx + -2x + x2 = 0

Solving
2 + 7k + -4kx + -2x + x2 = 0

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + 7k + -4kx + -2x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 7k + -4kx + -2x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7k + -4kx + -2x + x2 = 0 + -2
7k + -4kx + -2x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
7k + -4kx + -2x + x2 = -2

Add '2x' to each side of the equation.
7k + -4kx + -2x + 2x + x2 = -2 + 2x

Combine like terms: -2x + 2x = 0
7k + -4kx + 0 + x2 = -2 + 2x
7k + -4kx + x2 = -2 + 2x

Add '-1x2' to each side of the equation.
7k + -4kx + x2 + -1x2 = -2 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
7k + -4kx + 0 = -2 + 2x + -1x2
7k + -4kx = -2 + 2x + -1x2

Reorder the terms:
2 + 7k + -4kx + -2x + x2 = -2 + 2x + -1x2 + 2 + -2x + x2

Reorder the terms:
2 + 7k + -4kx + -2x + x2 = -2 + 2 + 2x + -2x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + 7k + -4kx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
2 + 7k + -4kx + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
2 + 7k + -4kx + -2x + x2 = 0 + -1x2 + x2
2 + 7k + -4kx + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 7k + -4kx + -2x + x2 = 0

The solution to this equation could not be determined.

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