2x^2-13x+20=(2x-5)(X-4)

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Solution for 2x^2-13x+20=(2x-5)(X-4) equation: 


Simplifying
2x2 + -13x + 20 = (2x + -5)(X + -4)

Reorder the terms:
20 + -13x + 2x2 = (2x + -5)(X + -4)

Reorder the terms:
20 + -13x + 2x2 = (-5 + 2x)(X + -4)

Reorder the terms:
20 + -13x + 2x2 = (-5 + 2x)(-4 + X)

Multiply (-5 + 2x) * (-4 + X)
20 + -13x + 2x2 = (-5(-4 + X) + 2x * (-4 + X))
20 + -13x + 2x2 = ((-4 * -5 + X * -5) + 2x * (-4 + X))
20 + -13x + 2x2 = ((20 + -5X) + 2x * (-4 + X))
20 + -13x + 2x2 = (20 + -5X + (-4 * 2x + X * 2x))
20 + -13x + 2x2 = (20 + -5X + (-8x + 2xX))
20 + -13x + 2x2 = (20 + -5X + -8x + 2xX)

Add '-20' to each side of the equation.
20 + -13x + -20 + 2x2 = 20 + -5X + -8x + -20 + 2xX

Reorder the terms:
20 + -20 + -13x + 2x2 = 20 + -5X + -8x + -20 + 2xX

Combine like terms: 20 + -20 = 0
0 + -13x + 2x2 = 20 + -5X + -8x + -20 + 2xX
-13x + 2x2 = 20 + -5X + -8x + -20 + 2xX

Reorder the terms:
-13x + 2x2 = 20 + -20 + -5X + -8x + 2xX

Combine like terms: 20 + -20 = 0
-13x + 2x2 = 0 + -5X + -8x + 2xX
-13x + 2x2 = -5X + -8x + 2xX

Solving
-13x + 2x2 = -5X + -8x + 2xX

Solving for variable 'x'.

Reorder the terms:
5X + -13x + 8x + -2xX + 2x2 = -5X + -8x + 2xX + 5X + 8x + -2xX

Combine like terms: -13x + 8x = -5x
5X + -5x + -2xX + 2x2 = -5X + -8x + 2xX + 5X + 8x + -2xX

Reorder the terms:
5X + -5x + -2xX + 2x2 = -5X + 5X + -8x + 8x + 2xX + -2xX

Combine like terms: -5X + 5X = 0
5X + -5x + -2xX + 2x2 = 0 + -8x + 8x + 2xX + -2xX
5X + -5x + -2xX + 2x2 = -8x + 8x + 2xX + -2xX

Combine like terms: -8x + 8x = 0
5X + -5x + -2xX + 2x2 = 0 + 2xX + -2xX
5X + -5x + -2xX + 2x2 = 2xX + -2xX

Combine like terms: 2xX + -2xX = 0
5X + -5x + -2xX + 2x2 = 0

The solution to this equation could not be determined.

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