5x^2-13x+6=(5x-3)(ax+-b)

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Solution for 5x^2-13x+6=(5x-3)(ax+-b) equation: 


Simplifying
5x2 + -13x + 6 = (5x + -3)(ax + -1b)

Reorder the terms:
6 + -13x + 5x2 = (5x + -3)(ax + -1b)

Reorder the terms:
6 + -13x + 5x2 = (-3 + 5x)(ax + -1b)

Multiply (-3 + 5x) * (ax + -1b)
6 + -13x + 5x2 = (-3(ax + -1b) + 5x * (ax + -1b))
6 + -13x + 5x2 = ((ax * -3 + -1b * -3) + 5x * (ax + -1b))
6 + -13x + 5x2 = ((-3ax + 3b) + 5x * (ax + -1b))
6 + -13x + 5x2 = (-3ax + 3b + (ax * 5x + -1b * 5x))
6 + -13x + 5x2 = (-3ax + 3b + (5ax2 + -5bx))

Reorder the terms:
6 + -13x + 5x2 = (-3ax + 5ax2 + 3b + -5bx)
6 + -13x + 5x2 = (-3ax + 5ax2 + 3b + -5bx)

Solving
6 + -13x + 5x2 = -3ax + 5ax2 + 3b + -5bx

Solving for variable 'x'.

Reorder the terms:
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = -3ax + 5ax2 + 3b + -5bx + 3ax + -5ax2 + -3b + 5bx

Reorder the terms:
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = -3ax + 3ax + 5ax2 + -5ax2 + 3b + -3b + -5bx + 5bx

Combine like terms: -3ax + 3ax = 0
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = 0 + 5ax2 + -5ax2 + 3b + -3b + -5bx + 5bx
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = 5ax2 + -5ax2 + 3b + -3b + -5bx + 5bx

Combine like terms: 5ax2 + -5ax2 = 0
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = 0 + 3b + -3b + -5bx + 5bx
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = 3b + -3b + -5bx + 5bx

Combine like terms: 3b + -3b = 0
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = 0 + -5bx + 5bx
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = -5bx + 5bx

Combine like terms: -5bx + 5bx = 0
6 + 3ax + -5ax2 + -3b + 5bx + -13x + 5x2 = 0

The solution to this equation could not be determined.

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