bx^4+(6-k)x^3+(b-a)x^2-kx-a=0

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Solution for bx^4+(6-k)x^3+(b-a)x^2-kx-a=0 equation:


Simplifying
bx4 + (6 + -1k) * x3 + (b + -1a) * x2 + -1kx + -1a = 0

Reorder the terms for easier multiplication:
bx4 + x3(6 + -1k) + (b + -1a) * x2 + -1kx + -1a = 0
bx4 + (6 * x3 + -1k * x3) + (b + -1a) * x2 + -1kx + -1a = 0

Reorder the terms:
bx4 + (-1kx3 + 6x3) + (b + -1a) * x2 + -1kx + -1a = 0
bx4 + (-1kx3 + 6x3) + (b + -1a) * x2 + -1kx + -1a = 0

Reorder the terms:
bx4 + -1kx3 + 6x3 + (-1a + b) * x2 + -1kx + -1a = 0

Reorder the terms for easier multiplication:
bx4 + -1kx3 + 6x3 + x2(-1a + b) + -1kx + -1a = 0
bx4 + -1kx3 + 6x3 + (-1a * x2 + b * x2) + -1kx + -1a = 0
bx4 + -1kx3 + 6x3 + (-1ax2 + bx2) + -1kx + -1a = 0

Reorder the terms:
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0

Solving
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0

Solving for variable 'a'.

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

Add '-1bx2' to each side of the equation.
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + -1bx2 + 6x3 = 0 + -1bx2

Reorder the terms:
-1a + -1ax2 + bx2 + -1bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
-1a + -1ax2 + 0 + bx4 + -1kx + -1kx3 + 6x3 = 0 + -1bx2
-1a + -1ax2 + bx4 + -1kx + -1kx3 + 6x3 = 0 + -1bx2
Remove the zero:
-1a + -1ax2 + bx4 + -1kx + -1kx3 + 6x3 = -1bx2

Add '-1bx4' to each side of the equation.
-1a + -1ax2 + bx4 + -1kx + -1kx3 + -1bx4 + 6x3 = -1bx2 + -1bx4

Reorder the terms:
-1a + -1ax2 + bx4 + -1bx4 + -1kx + -1kx3 + 6x3 = -1bx2 + -1bx4

Combine like terms: bx4 + -1bx4 = 0
-1a + -1ax2 + 0 + -1kx + -1kx3 + 6x3 = -1bx2 + -1bx4
-1a + -1ax2 + -1kx + -1kx3 + 6x3 = -1bx2 + -1bx4

Add 'kx' to each side of the equation.
-1a + -1ax2 + -1kx + -1kx3 + kx + 6x3 = -1bx2 + -1bx4 + kx

Reorder the terms:
-1a + -1ax2 + -1kx + kx + -1kx3 + 6x3 = -1bx2 + -1bx4 + kx

Combine like terms: -1kx + kx = 0
-1a + -1ax2 + 0 + -1kx3 + 6x3 = -1bx2 + -1bx4 + kx
-1a + -1ax2 + -1kx3 + 6x3 = -1bx2 + -1bx4 + kx

Add 'kx3' to each side of the equation.
-1a + -1ax2 + -1kx3 + kx3 + 6x3 = -1bx2 + -1bx4 + kx + kx3

Combine like terms: -1kx3 + kx3 = 0
-1a + -1ax2 + 0 + 6x3 = -1bx2 + -1bx4 + kx + kx3
-1a + -1ax2 + 6x3 = -1bx2 + -1bx4 + kx + kx3

Add '-6x3' to each side of the equation.
-1a + -1ax2 + 6x3 + -6x3 = -1bx2 + -1bx4 + kx + kx3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-1a + -1ax2 + 0 = -1bx2 + -1bx4 + kx + kx3 + -6x3
-1a + -1ax2 = -1bx2 + -1bx4 + kx + kx3 + -6x3

Reorder the terms:
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = -1bx2 + bx2 + -1bx4 + bx4 + kx + -1kx + kx3 + -1kx3 + -6x3 + 6x3

Combine like terms: -1bx2 + bx2 = 0
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0 + -1bx4 + bx4 + kx + -1kx + kx3 + -1kx3 + -6x3 + 6x3
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = -1bx4 + bx4 + kx + -1kx + kx3 + -1kx3 + -6x3 + 6x3

Combine like terms: -1bx4 + bx4 = 0
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0 + kx + -1kx + kx3 + -1kx3 + -6x3 + 6x3
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = kx + -1kx + kx3 + -1kx3 + -6x3 + 6x3

Combine like terms: kx + -1kx = 0
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0 + kx3 + -1kx3 + -6x3 + 6x3
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = kx3 + -1kx3 + -6x3 + 6x3

Combine like terms: kx3 + -1kx3 = 0
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0 + -6x3 + 6x3
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
-1a + -1ax2 + bx2 + bx4 + -1kx + -1kx3 + 6x3 = 0

The solution to this equation could not be determined.

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