x^2-36=(x+6)(x-6)

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Solution for x^2-36=(x+6)(x-6) equation:


Simplifying
x2 + -36 = (x + 6)(x + -6)

Reorder the terms:
-36 + x2 = (x + 6)(x + -6)

Reorder the terms:
-36 + x2 = (6 + x)(x + -6)

Reorder the terms:
-36 + x2 = (6 + x)(-6 + x)

Multiply (6 + x) * (-6 + x)
-36 + x2 = (6(-6 + x) + x(-6 + x))
-36 + x2 = ((-6 * 6 + x * 6) + x(-6 + x))
-36 + x2 = ((-36 + 6x) + x(-6 + x))
-36 + x2 = (-36 + 6x + (-6 * x + x * x))
-36 + x2 = (-36 + 6x + (-6x + x2))

Combine like terms: 6x + -6x = 0
-36 + x2 = (-36 + 0 + x2)
-36 + x2 = (-36 + x2)

Add '36' to each side of the equation.
-36 + 36 + x2 = -36 + 36 + x2

Combine like terms: -36 + 36 = 0
0 + x2 = -36 + 36 + x2
x2 = -36 + 36 + x2

Combine like terms: -36 + 36 = 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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