X^2-6x+5=(x*g)(x+h)

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Solution for X^2-6x+5=(x*g)(x+h) equation: 


Simplifying
X2 + -6x + 5 = (x * g)(x + h)

Reorder the terms:
5 + X2 + -6x = (x * g)(x + h)

Multiply x * g
5 + X2 + -6x = (gx)(x + h)

Reorder the terms:
5 + X2 + -6x = gx(h + x)
5 + X2 + -6x = (h * gx + x * gx)
5 + X2 + -6x = (ghx + gx2)

Solving
5 + X2 + -6x = ghx + gx2

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X2 + -5 + -6x = ghx + -5 + gx2

Reorder the terms:
5 + -5 + X2 + -6x = ghx + -5 + gx2

Combine like terms: 5 + -5 = 0
0 + X2 + -6x = ghx + -5 + gx2
X2 + -6x = ghx + -5 + gx2

Reorder the terms:
X2 + -6x = -5 + ghx + gx2

Add '6x' to each side of the equation.
X2 + -6x + 6x = -5 + ghx + gx2 + 6x

Combine like terms: -6x + 6x = 0
X2 + 0 = -5 + ghx + gx2 + 6x
X2 = -5 + ghx + gx2 + 6x

Simplifying
X2 = -5 + ghx + gx2 + 6x

Reorder the terms:
5 + X2 + -1ghx + -1gx2 + -6x = -5 + ghx + gx2 + 6x + 5 + -1ghx + -1gx2 + -6x

Reorder the terms:
5 + X2 + -1ghx + -1gx2 + -6x = -5 + 5 + ghx + -1ghx + gx2 + -1gx2 + 6x + -6x

Combine like terms: -5 + 5 = 0
5 + X2 + -1ghx + -1gx2 + -6x = 0 + ghx + -1ghx + gx2 + -1gx2 + 6x + -6x
5 + X2 + -1ghx + -1gx2 + -6x = ghx + -1ghx + gx2 + -1gx2 + 6x + -6x

Combine like terms: ghx + -1ghx = 0
5 + X2 + -1ghx + -1gx2 + -6x = 0 + gx2 + -1gx2 + 6x + -6x
5 + X2 + -1ghx + -1gx2 + -6x = gx2 + -1gx2 + 6x + -6x

Combine like terms: gx2 + -1gx2 = 0
5 + X2 + -1ghx + -1gx2 + -6x = 0 + 6x + -6x
5 + X2 + -1ghx + -1gx2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
5 + X2 + -1ghx + -1gx2 + -6x = 0

The solution to this equation could not be determined.

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