(x^4-3x^3+kx^2+4x-1)by(x-2)=11

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Solution for (x^4-3x^3+kx^2+4x-1)by(x-2)=11 equation: 


Simplifying
(x4 + -3x3 + kx2 + 4x + -1) * by(x + -2) = 11

Reorder the terms:
(-1 + kx2 + 4x + -3x3 + x4) * by(x + -2) = 11

Reorder the terms:
(-1 + kx2 + 4x + -3x3 + x4) * by(-2 + x) = 11

Reorder the terms for easier multiplication:
by(-1 + kx2 + 4x + -3x3 + x4)(-2 + x) = 11

Multiply (-1 + kx2 + 4x + -3x3 + x4) * (-2 + x)
by(-1(-2 + x) + kx2(-2 + x) + 4x * (-2 + x) + -3x3 * (-2 + x) + x4(-2 + x)) = 11
by((-2 * -1 + x * -1) + kx2(-2 + x) + 4x * (-2 + x) + -3x3 * (-2 + x) + x4(-2 + x)) = 11
by((2 + -1x) + kx2(-2 + x) + 4x * (-2 + x) + -3x3 * (-2 + x) + x4(-2 + x)) = 11
by(2 + -1x + (-2 * kx2 + x * kx2) + 4x * (-2 + x) + -3x3 * (-2 + x) + x4(-2 + x)) = 11
by(2 + -1x + (-2kx2 + kx3) + 4x * (-2 + x) + -3x3 * (-2 + x) + x4(-2 + x)) = 11
by(2 + -1x + -2kx2 + kx3 + (-2 * 4x + x * 4x) + -3x3 * (-2 + x) + x4(-2 + x)) = 11
by(2 + -1x + -2kx2 + kx3 + (-8x + 4x2) + -3x3 * (-2 + x) + x4(-2 + x)) = 11
by(2 + -1x + -2kx2 + kx3 + -8x + 4x2 + (-2 * -3x3 + x * -3x3) + x4(-2 + x)) = 11
by(2 + -1x + -2kx2 + kx3 + -8x + 4x2 + (6x3 + -3x4) + x4(-2 + x)) = 11
by(2 + -1x + -2kx2 + kx3 + -8x + 4x2 + 6x3 + -3x4 + (-2 * x4 + x * x4)) = 11
by(2 + -1x + -2kx2 + kx3 + -8x + 4x2 + 6x3 + -3x4 + (-2x4 + x5)) = 11

Reorder the terms:
by(2 + -2kx2 + kx3 + -1x + -8x + 4x2 + 6x3 + -3x4 + -2x4 + x5) = 11

Combine like terms: -1x + -8x = -9x
by(2 + -2kx2 + kx3 + -9x + 4x2 + 6x3 + -3x4 + -2x4 + x5) = 11

Combine like terms: -3x4 + -2x4 = -5x4
by(2 + -2kx2 + kx3 + -9x + 4x2 + 6x3 + -5x4 + x5) = 11
(2 * by + -2kx2 * by + kx3 * by + -9x * by + 4x2 * by + 6x3 * by + -5x4 * by + x5 * by) = 11

Reorder the terms:
(-2bkx2y + bkx3y + -9bxy + 4bx2y + 6bx3y + -5bx4y + bx5y + 2by) = 11
(-2bkx2y + bkx3y + -9bxy + 4bx2y + 6bx3y + -5bx4y + bx5y + 2by) = 11

Solving
-2bkx2y + bkx3y + -9bxy + 4bx2y + 6bx3y + -5bx4y + bx5y + 2by = 11

Solving for variable 'b'.

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

Reorder the terms:
-11 + -2bkx2y + bkx3y + -9bxy + 4bx2y + 6bx3y + -5bx4y + bx5y + 2by = 11 + -11

Combine like terms: 11 + -11 = 0
-11 + -2bkx2y + bkx3y + -9bxy + 4bx2y + 6bx3y + -5bx4y + bx5y + 2by = 0

The solution to this equation could not be determined.

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