5x^2-(k+2)*x+7k+1=0

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Solution for 5x^2-(k+2)*x+7k+1=0 equation: 


Simplifying
5x2 + -1(k + 2) * x + 7k + 1 = 0

Reorder the terms:
5x2 + -1(2 + k) * x + 7k + 1 = 0

Reorder the terms for easier multiplication:
5x2 + -1x(2 + k) + 7k + 1 = 0
5x2 + (2 * -1x + k * -1x) + 7k + 1 = 0

Reorder the terms:
5x2 + (-1kx + -2x) + 7k + 1 = 0
5x2 + (-1kx + -2x) + 7k + 1 = 0

Reorder the terms:
1 + 7k + -1kx + -2x + 5x2 = 0

Solving
1 + 7k + -1kx + -2x + 5x2 = 0

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + 7k + -1kx + -2x + -1 + 5x2 = 0 + -1

Reorder the terms:
1 + -1 + 7k + -1kx + -2x + 5x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7k + -1kx + -2x + 5x2 = 0 + -1
7k + -1kx + -2x + 5x2 = 0 + -1

Combine like terms: 0 + -1 = -1
7k + -1kx + -2x + 5x2 = -1

Add '2x' to each side of the equation.
7k + -1kx + -2x + 2x + 5x2 = -1 + 2x

Combine like terms: -2x + 2x = 0
7k + -1kx + 0 + 5x2 = -1 + 2x
7k + -1kx + 5x2 = -1 + 2x

Add '-5x2' to each side of the equation.
7k + -1kx + 5x2 + -5x2 = -1 + 2x + -5x2

Combine like terms: 5x2 + -5x2 = 0
7k + -1kx + 0 = -1 + 2x + -5x2
7k + -1kx = -1 + 2x + -5x2

Reorder the terms:
1 + 7k + -1kx + -2x + 5x2 = -1 + 2x + -5x2 + 1 + -2x + 5x2

Reorder the terms:
1 + 7k + -1kx + -2x + 5x2 = -1 + 1 + 2x + -2x + -5x2 + 5x2

Combine like terms: -1 + 1 = 0
1 + 7k + -1kx + -2x + 5x2 = 0 + 2x + -2x + -5x2 + 5x2
1 + 7k + -1kx + -2x + 5x2 = 2x + -2x + -5x2 + 5x2

Combine like terms: 2x + -2x = 0
1 + 7k + -1kx + -2x + 5x2 = 0 + -5x2 + 5x2
1 + 7k + -1kx + -2x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
1 + 7k + -1kx + -2x + 5x2 = 0

The solution to this equation could not be determined.

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