7x^2+(2k-1)x-3k+2=0

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Solution for 7x^2+(2k-1)x-3k+2=0 equation:


Simplifying
7x2 + (2k + -1) * x + -3k + 2 = 0

Reorder the terms:
7x2 + (-1 + 2k) * x + -3k + 2 = 0

Reorder the terms for easier multiplication:
7x2 + x(-1 + 2k) + -3k + 2 = 0
7x2 + (-1 * x + 2k * x) + -3k + 2 = 0

Reorder the terms:
7x2 + (2kx + -1x) + -3k + 2 = 0
7x2 + (2kx + -1x) + -3k + 2 = 0

Reorder the terms:
2 + -3k + 2kx + -1x + 7x2 = 0

Solving
2 + -3k + 2kx + -1x + 7x2 = 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 + -3k + 2kx + -1x + -2 + 7x2 = 0 + -2

Reorder the terms:
2 + -2 + -3k + 2kx + -1x + 7x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3k + 2kx + -1x + 7x2 = 0 + -2
-3k + 2kx + -1x + 7x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3k + 2kx + -1x + 7x2 = -2

Add 'x' to each side of the equation.
-3k + 2kx + -1x + x + 7x2 = -2 + x

Combine like terms: -1x + x = 0
-3k + 2kx + 0 + 7x2 = -2 + x
-3k + 2kx + 7x2 = -2 + x

Add '-7x2' to each side of the equation.
-3k + 2kx + 7x2 + -7x2 = -2 + x + -7x2

Combine like terms: 7x2 + -7x2 = 0
-3k + 2kx + 0 = -2 + x + -7x2
-3k + 2kx = -2 + x + -7x2

Reorder the terms:
2 + -3k + 2kx + -1x + 7x2 = -2 + x + -7x2 + 2 + -1x + 7x2

Reorder the terms:
2 + -3k + 2kx + -1x + 7x2 = -2 + 2 + x + -1x + -7x2 + 7x2

Combine like terms: -2 + 2 = 0
2 + -3k + 2kx + -1x + 7x2 = 0 + x + -1x + -7x2 + 7x2
2 + -3k + 2kx + -1x + 7x2 = x + -1x + -7x2 + 7x2

Combine like terms: x + -1x = 0
2 + -3k + 2kx + -1x + 7x2 = 0 + -7x2 + 7x2
2 + -3k + 2kx + -1x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
2 + -3k + 2kx + -1x + 7x2 = 0

The solution to this equation could not be determined.

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