4x^2-(k-6)x+2k+21=0

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Solution for 4x^2-(k-6)x+2k+21=0 equation: 


Simplifying
4x2 + -1(k + -6) * x + 2k + 21 = 0

Reorder the terms:
4x2 + -1(-6 + k) * x + 2k + 21 = 0

Reorder the terms for easier multiplication:
4x2 + -1x(-6 + k) + 2k + 21 = 0
4x2 + (-6 * -1x + k * -1x) + 2k + 21 = 0

Reorder the terms:
4x2 + (-1kx + 6x) + 2k + 21 = 0
4x2 + (-1kx + 6x) + 2k + 21 = 0

Reorder the terms:
21 + 2k + -1kx + 6x + 4x2 = 0

Solving
21 + 2k + -1kx + 6x + 4x2 = 0

Solving for variable 'k'.

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

Add '-21' to each side of the equation.
21 + 2k + -1kx + 6x + -21 + 4x2 = 0 + -21

Reorder the terms:
21 + -21 + 2k + -1kx + 6x + 4x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2k + -1kx + 6x + 4x2 = 0 + -21
2k + -1kx + 6x + 4x2 = 0 + -21

Combine like terms: 0 + -21 = -21
2k + -1kx + 6x + 4x2 = -21

Add '-6x' to each side of the equation.
2k + -1kx + 6x + -6x + 4x2 = -21 + -6x

Combine like terms: 6x + -6x = 0
2k + -1kx + 0 + 4x2 = -21 + -6x
2k + -1kx + 4x2 = -21 + -6x

Add '-4x2' to each side of the equation.
2k + -1kx + 4x2 + -4x2 = -21 + -6x + -4x2

Combine like terms: 4x2 + -4x2 = 0
2k + -1kx + 0 = -21 + -6x + -4x2
2k + -1kx = -21 + -6x + -4x2

Reorder the terms:
21 + 2k + -1kx + 6x + 4x2 = -21 + -6x + -4x2 + 21 + 6x + 4x2

Reorder the terms:
21 + 2k + -1kx + 6x + 4x2 = -21 + 21 + -6x + 6x + -4x2 + 4x2

Combine like terms: -21 + 21 = 0
21 + 2k + -1kx + 6x + 4x2 = 0 + -6x + 6x + -4x2 + 4x2
21 + 2k + -1kx + 6x + 4x2 = -6x + 6x + -4x2 + 4x2

Combine like terms: -6x + 6x = 0
21 + 2k + -1kx + 6x + 4x2 = 0 + -4x2 + 4x2
21 + 2k + -1kx + 6x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
21 + 2k + -1kx + 6x + 4x2 = 0

The solution to this equation could not be determined.

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