9x^2-9x+2=(3x-1)(3x-2)

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Solution for 9x^2-9x+2=(3x-1)(3x-2) equation: 


Simplifying
9x2 + -9x + 2 = (3x + -1)(3x + -2)

Reorder the terms:
2 + -9x + 9x2 = (3x + -1)(3x + -2)

Reorder the terms:
2 + -9x + 9x2 = (-1 + 3x)(3x + -2)

Reorder the terms:
2 + -9x + 9x2 = (-1 + 3x)(-2 + 3x)

Multiply (-1 + 3x) * (-2 + 3x)
2 + -9x + 9x2 = (-1(-2 + 3x) + 3x * (-2 + 3x))
2 + -9x + 9x2 = ((-2 * -1 + 3x * -1) + 3x * (-2 + 3x))
2 + -9x + 9x2 = ((2 + -3x) + 3x * (-2 + 3x))
2 + -9x + 9x2 = (2 + -3x + (-2 * 3x + 3x * 3x))
2 + -9x + 9x2 = (2 + -3x + (-6x + 9x2))

Combine like terms: -3x + -6x = -9x
2 + -9x + 9x2 = (2 + -9x + 9x2)

Add '-2' to each side of the equation.
2 + -9x + -2 + 9x2 = 2 + -9x + -2 + 9x2

Reorder the terms:
2 + -2 + -9x + 9x2 = 2 + -9x + -2 + 9x2

Combine like terms: 2 + -2 = 0
0 + -9x + 9x2 = 2 + -9x + -2 + 9x2
-9x + 9x2 = 2 + -9x + -2 + 9x2

Reorder the terms:
-9x + 9x2 = 2 + -2 + -9x + 9x2

Combine like terms: 2 + -2 = 0
-9x + 9x2 = 0 + -9x + 9x2
-9x + 9x2 = -9x + 9x2

Add '9x' to each side of the equation.
-9x + 9x + 9x2 = -9x + 9x + 9x2

Combine like terms: -9x + 9x = 0
0 + 9x2 = -9x + 9x + 9x2
9x2 = -9x + 9x + 9x2

Combine like terms: -9x + 9x = 0
9x2 = 0 + 9x2
9x2 = 9x2

Add '-9x2' to each side of the equation.
9x2 + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
0 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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