x^2-5x+2=(x-3)(x-2)

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Solution for x^2-5x+2=(x-3)(x-2) equation: 


Simplifying
x2 + -5x + 2 = (x + -3)(x + -2)

Reorder the terms:
2 + -5x + x2 = (x + -3)(x + -2)

Reorder the terms:
2 + -5x + x2 = (-3 + x)(x + -2)

Reorder the terms:
2 + -5x + x2 = (-3 + x)(-2 + x)

Multiply (-3 + x) * (-2 + x)
2 + -5x + x2 = (-3(-2 + x) + x(-2 + x))
2 + -5x + x2 = ((-2 * -3 + x * -3) + x(-2 + x))
2 + -5x + x2 = ((6 + -3x) + x(-2 + x))
2 + -5x + x2 = (6 + -3x + (-2 * x + x * x))
2 + -5x + x2 = (6 + -3x + (-2x + x2))

Combine like terms: -3x + -2x = -5x
2 + -5x + x2 = (6 + -5x + x2)

Add '5x' to each side of the equation.
2 + -5x + 5x + x2 = 6 + -5x + 5x + x2

Combine like terms: -5x + 5x = 0
2 + 0 + x2 = 6 + -5x + 5x + x2
2 + x2 = 6 + -5x + 5x + x2

Combine like terms: -5x + 5x = 0
2 + x2 = 6 + 0 + x2
2 + x2 = 6 + x2

Add '-1x2' to each side of the equation.
2 + x2 + -1x2 = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 0 = 6 + x2 + -1x2
2 = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 = 6 + 0
2 = 6

Solving
2 = 6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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