x^2-169=(x+13)(x-13)

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Solution for x^2-169=(x+13)(x-13) equation: 


Simplifying
x2 + -169 = (x + 13)(x + -13)

Reorder the terms:
-169 + x2 = (x + 13)(x + -13)

Reorder the terms:
-169 + x2 = (13 + x)(x + -13)

Reorder the terms:
-169 + x2 = (13 + x)(-13 + x)

Multiply (13 + x) * (-13 + x)
-169 + x2 = (13(-13 + x) + x(-13 + x))
-169 + x2 = ((-13 * 13 + x * 13) + x(-13 + x))
-169 + x2 = ((-169 + 13x) + x(-13 + x))
-169 + x2 = (-169 + 13x + (-13 * x + x * x))
-169 + x2 = (-169 + 13x + (-13x + x2))

Combine like terms: 13x + -13x = 0
-169 + x2 = (-169 + 0 + x2)
-169 + x2 = (-169 + x2)

Add '169' to each side of the equation.
-169 + 169 + x2 = -169 + 169 + x2

Combine like terms: -169 + 169 = 0
0 + x2 = -169 + 169 + x2
x2 = -169 + 169 + x2

Combine like terms: -169 + 169 = 0
x2 = 0 + x2
x2 = x2

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

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

Combine like terms: x2 + -1x2 = 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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