3x^2-(2k+1)x+4=0

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Solution for 3x^2-(2k+1)x+4=0 equation:


Simplifying
3x2 + -1(2k + 1) * x + 4 = 0

Reorder the terms:
3x2 + -1(1 + 2k) * x + 4 = 0

Reorder the terms for easier multiplication:
3x2 + -1x(1 + 2k) + 4 = 0
3x2 + (1 * -1x + 2k * -1x) + 4 = 0

Reorder the terms:
3x2 + (-2kx + -1x) + 4 = 0
3x2 + (-2kx + -1x) + 4 = 0

Reorder the terms:
4 + -2kx + -1x + 3x2 = 0

Solving
4 + -2kx + -1x + 3x2 = 0

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -2kx + -1x + -4 + 3x2 = 0 + -4

Reorder the terms:
4 + -4 + -2kx + -1x + 3x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2kx + -1x + 3x2 = 0 + -4
-2kx + -1x + 3x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2kx + -1x + 3x2 = -4

Add 'x' to each side of the equation.
-2kx + -1x + x + 3x2 = -4 + x

Combine like terms: -1x + x = 0
-2kx + 0 + 3x2 = -4 + x
-2kx + 3x2 = -4 + x

Add '-3x2' to each side of the equation.
-2kx + 3x2 + -3x2 = -4 + x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2kx + 0 = -4 + x + -3x2
-2kx = -4 + x + -3x2

Divide each side by '-2x'.
k = 2x-1 + -0.5 + 1.5x

Simplifying
k = 2x-1 + -0.5 + 1.5x

Reorder the terms:
k = -0.5 + 2x-1 + 1.5x

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