(x-a)(2x^2-bx+2)=2x^3-11x^2+17x-6

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Solution for (x-a)(2x^2-bx+2)=2x^3-11x^2+17x-6 equation: 


Simplifying
(x + -1a)(2x2 + -1bx + 2) = 2x3 + -11x2 + 17x + -6

Reorder the terms:
(-1a + x)(2x2 + -1bx + 2) = 2x3 + -11x2 + 17x + -6

Reorder the terms:
(-1a + x)(2 + -1bx + 2x2) = 2x3 + -11x2 + 17x + -6

Multiply (-1a + x) * (2 + -1bx + 2x2)
(-1a * (2 + -1bx + 2x2) + x(2 + -1bx + 2x2)) = 2x3 + -11x2 + 17x + -6
((2 * -1a + -1bx * -1a + 2x2 * -1a) + x(2 + -1bx + 2x2)) = 2x3 + -11x2 + 17x + -6
((-2a + 1abx + -2ax2) + x(2 + -1bx + 2x2)) = 2x3 + -11x2 + 17x + -6
(-2a + 1abx + -2ax2 + (2 * x + -1bx * x + 2x2 * x)) = 2x3 + -11x2 + 17x + -6

Reorder the terms:
(-2a + 1abx + -2ax2 + (-1bx2 + 2x + 2x3)) = 2x3 + -11x2 + 17x + -6
(-2a + 1abx + -2ax2 + (-1bx2 + 2x + 2x3)) = 2x3 + -11x2 + 17x + -6
(-2a + 1abx + -2ax2 + -1bx2 + 2x + 2x3) = 2x3 + -11x2 + 17x + -6

Reorder the terms:
-2a + 1abx + -2ax2 + -1bx2 + 2x + 2x3 = -6 + 17x + -11x2 + 2x3

Add '-2x3' to each side of the equation.
-2a + 1abx + -2ax2 + -1bx2 + 2x + 2x3 + -2x3 = -6 + 17x + -11x2 + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-2a + 1abx + -2ax2 + -1bx2 + 2x + 0 = -6 + 17x + -11x2 + 2x3 + -2x3
-2a + 1abx + -2ax2 + -1bx2 + 2x = -6 + 17x + -11x2 + 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-2a + 1abx + -2ax2 + -1bx2 + 2x = -6 + 17x + -11x2 + 0
-2a + 1abx + -2ax2 + -1bx2 + 2x = -6 + 17x + -11x2

Solving
-2a + 1abx + -2ax2 + -1bx2 + 2x = -6 + 17x + -11x2

Solving for variable 'a'.

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

Add 'bx2' to each side of the equation.
-2a + 1abx + -2ax2 + -1bx2 + bx2 + 2x = -6 + 17x + bx2 + -11x2

Combine like terms: -1bx2 + bx2 = 0
-2a + 1abx + -2ax2 + 0 + 2x = -6 + 17x + bx2 + -11x2
-2a + 1abx + -2ax2 + 2x = -6 + 17x + bx2 + -11x2

Reorder the terms:
-2a + 1abx + -2ax2 + 2x = -6 + bx2 + 17x + -11x2

Add '-2x' to each side of the equation.
-2a + 1abx + -2ax2 + 2x + -2x = -6 + bx2 + 17x + -2x + -11x2

Combine like terms: 2x + -2x = 0
-2a + 1abx + -2ax2 + 0 = -6 + bx2 + 17x + -2x + -11x2
-2a + 1abx + -2ax2 = -6 + bx2 + 17x + -2x + -11x2

Combine like terms: 17x + -2x = 15x
-2a + 1abx + -2ax2 = -6 + bx2 + 15x + -11x2

Reorder the terms:
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = -6 + bx2 + 15x + -11x2 + 6 + -1bx2 + -15x + 11x2

Reorder the terms:
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = -6 + 6 + bx2 + -1bx2 + 15x + -15x + -11x2 + 11x2

Combine like terms: -6 + 6 = 0
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = 0 + bx2 + -1bx2 + 15x + -15x + -11x2 + 11x2
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = bx2 + -1bx2 + 15x + -15x + -11x2 + 11x2

Combine like terms: bx2 + -1bx2 = 0
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = 0 + 15x + -15x + -11x2 + 11x2
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = 15x + -15x + -11x2 + 11x2

Combine like terms: 15x + -15x = 0
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = 0 + -11x2 + 11x2
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = -11x2 + 11x2

Combine like terms: -11x2 + 11x2 = 0
6 + -2a + 1abx + -2ax2 + -1bx2 + -15x + 11x2 = 0

The solution to this equation could not be determined.

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