x^2-7x+6=(x-1)(ax+b)

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Solution for x^2-7x+6=(x-1)(ax+b) equation: 


Simplifying
x2 + -7x + 6 = (x + -1)(ax + b)

Reorder the terms:
6 + -7x + x2 = (x + -1)(ax + b)

Reorder the terms:
6 + -7x + x2 = (-1 + x)(ax + b)

Multiply (-1 + x) * (ax + b)
6 + -7x + x2 = (-1(ax + b) + x(ax + b))
6 + -7x + x2 = ((ax * -1 + b * -1) + x(ax + b))
6 + -7x + x2 = ((-1ax + -1b) + x(ax + b))
6 + -7x + x2 = (-1ax + -1b + (ax * x + b * x))
6 + -7x + x2 = (-1ax + -1b + (ax2 + bx))

Reorder the terms:
6 + -7x + x2 = (-1ax + ax2 + -1b + bx)
6 + -7x + x2 = (-1ax + ax2 + -1b + bx)

Solving
6 + -7x + x2 = -1ax + ax2 + -1b + bx

Solving for variable 'x'.

Reorder the terms:
6 + ax + -1ax2 + b + -1bx + -7x + x2 = -1ax + ax2 + -1b + bx + ax + -1ax2 + b + -1bx

Reorder the terms:
6 + ax + -1ax2 + b + -1bx + -7x + x2 = -1ax + ax + ax2 + -1ax2 + -1b + b + bx + -1bx

Combine like terms: -1ax + ax = 0
6 + ax + -1ax2 + b + -1bx + -7x + x2 = 0 + ax2 + -1ax2 + -1b + b + bx + -1bx
6 + ax + -1ax2 + b + -1bx + -7x + x2 = ax2 + -1ax2 + -1b + b + bx + -1bx

Combine like terms: ax2 + -1ax2 = 0
6 + ax + -1ax2 + b + -1bx + -7x + x2 = 0 + -1b + b + bx + -1bx
6 + ax + -1ax2 + b + -1bx + -7x + x2 = -1b + b + bx + -1bx

Combine like terms: -1b + b = 0
6 + ax + -1ax2 + b + -1bx + -7x + x2 = 0 + bx + -1bx
6 + ax + -1ax2 + b + -1bx + -7x + x2 = bx + -1bx

Combine like terms: bx + -1bx = 0
6 + ax + -1ax2 + b + -1bx + -7x + x2 = 0

The solution to this equation could not be determined.

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