(4k+1)*x^2-(k+10)*x+2k=0

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Solution for (4k+1)*x^2-(k+10)*x+2k=0 equation: 


Simplifying
(4k + 1) * x2 + -1(k + 10) * x + 2k = 0

Reorder the terms:
(1 + 4k) * x2 + -1(k + 10) * x + 2k = 0

Reorder the terms for easier multiplication:
x2(1 + 4k) + -1(k + 10) * x + 2k = 0
(1 * x2 + 4k * x2) + -1(k + 10) * x + 2k = 0

Reorder the terms:
(4kx2 + 1x2) + -1(k + 10) * x + 2k = 0
(4kx2 + 1x2) + -1(k + 10) * x + 2k = 0

Reorder the terms:
4kx2 + 1x2 + -1(10 + k) * x + 2k = 0

Reorder the terms for easier multiplication:
4kx2 + 1x2 + -1x(10 + k) + 2k = 0
4kx2 + 1x2 + (10 * -1x + k * -1x) + 2k = 0

Reorder the terms:
4kx2 + 1x2 + (-1kx + -10x) + 2k = 0
4kx2 + 1x2 + (-1kx + -10x) + 2k = 0

Reorder the terms:
2k + -1kx + 4kx2 + -10x + 1x2 = 0

Solving
2k + -1kx + 4kx2 + -10x + 1x2 = 0

Solving for variable 'k'.

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

Add '10x' to each side of the equation.
2k + -1kx + 4kx2 + -10x + 10x + 1x2 = 0 + 10x

Combine like terms: -10x + 10x = 0
2k + -1kx + 4kx2 + 0 + 1x2 = 0 + 10x
2k + -1kx + 4kx2 + 1x2 = 0 + 10x
Remove the zero:
2k + -1kx + 4kx2 + 1x2 = 10x

Add '-1x2' to each side of the equation.
2k + -1kx + 4kx2 + 1x2 + -1x2 = 10x + -1x2

Combine like terms: 1x2 + -1x2 = 0
2k + -1kx + 4kx2 + 0 = 10x + -1x2
2k + -1kx + 4kx2 = 10x + -1x2

Reorder the terms:
2k + -1kx + 4kx2 + -10x + x2 = 10x + -10x + -1x2 + x2

Combine like terms: 10x + -10x = 0
2k + -1kx + 4kx2 + -10x + x2 = 0 + -1x2 + x2
2k + -1kx + 4kx2 + -10x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2k + -1kx + 4kx2 + -10x + x2 = 0

The solution to this equation could not be determined.

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