6*x^2-11*x+5=(x-1)*(a*x+-b)

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Solution for 6*x^2-11*x+5=(x-1)*(a*x+-b) equation: 


Simplifying
6x2 + -11x + 5 = (x + -1)(a * x + -1b)

Reorder the terms:
5 + -11x + 6x2 = (x + -1)(a * x + -1b)

Reorder the terms:
5 + -11x + 6x2 = (-1 + x)(a * x + -1b)

Multiply a * x
5 + -11x + 6x2 = (-1 + x)(ax + -1b)

Multiply (-1 + x) * (ax + -1b)
5 + -11x + 6x2 = (-1(ax + -1b) + x(ax + -1b))
5 + -11x + 6x2 = ((ax * -1 + -1b * -1) + x(ax + -1b))
5 + -11x + 6x2 = ((-1ax + 1b) + x(ax + -1b))
5 + -11x + 6x2 = (-1ax + 1b + (ax * x + -1b * x))
5 + -11x + 6x2 = (-1ax + 1b + (ax2 + -1bx))

Reorder the terms:
5 + -11x + 6x2 = (-1ax + ax2 + 1b + -1bx)
5 + -11x + 6x2 = (-1ax + ax2 + 1b + -1bx)

Solving
5 + -11x + 6x2 = -1ax + ax2 + 1b + -1bx

Solving for variable 'x'.

Reorder the terms:
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = -1ax + ax2 + 1b + -1bx + ax + -1ax2 + -1b + bx

Reorder the terms:
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = -1ax + ax + ax2 + -1ax2 + 1b + -1b + -1bx + bx

Combine like terms: -1ax + ax = 0
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = 0 + ax2 + -1ax2 + 1b + -1b + -1bx + bx
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = ax2 + -1ax2 + 1b + -1b + -1bx + bx

Combine like terms: ax2 + -1ax2 = 0
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = 0 + 1b + -1b + -1bx + bx
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = 1b + -1b + -1bx + bx

Combine like terms: 1b + -1b = 0
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = 0 + -1bx + bx
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = -1bx + bx

Combine like terms: -1bx + bx = 0
5 + ax + -1ax2 + -1b + bx + -11x + 6x2 = 0

The solution to this equation could not be determined.

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