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

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


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

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

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

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

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

Combine like terms: 3x + -3x = 0
-1 + 9x2 = (-1 + 0 + 9x2)
-1 + 9x2 = (-1 + 9x2)

Add '1' to each side of the equation.
-1 + 1 + 9x2 = -1 + 1 + 9x2

Combine like terms: -1 + 1 = 0
0 + 9x2 = -1 + 1 + 9x2
9x2 = -1 + 1 + 9x2

Combine like terms: -1 + 1 = 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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