p^2-8p+12=(p-2)(p-6)

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Solution for p^2-8p+12=(p-2)(p-6) equation: 


Simplifying
p2 + -8p + 12 = (p + -2)(p + -6)

Reorder the terms:
12 + -8p + p2 = (p + -2)(p + -6)

Reorder the terms:
12 + -8p + p2 = (-2 + p)(p + -6)

Reorder the terms:
12 + -8p + p2 = (-2 + p)(-6 + p)

Multiply (-2 + p) * (-6 + p)
12 + -8p + p2 = (-2(-6 + p) + p(-6 + p))
12 + -8p + p2 = ((-6 * -2 + p * -2) + p(-6 + p))
12 + -8p + p2 = ((12 + -2p) + p(-6 + p))
12 + -8p + p2 = (12 + -2p + (-6 * p + p * p))
12 + -8p + p2 = (12 + -2p + (-6p + p2))

Combine like terms: -2p + -6p = -8p
12 + -8p + p2 = (12 + -8p + p2)

Add '-12' to each side of the equation.
12 + -8p + -12 + p2 = 12 + -8p + -12 + p2

Reorder the terms:
12 + -12 + -8p + p2 = 12 + -8p + -12 + p2

Combine like terms: 12 + -12 = 0
0 + -8p + p2 = 12 + -8p + -12 + p2
-8p + p2 = 12 + -8p + -12 + p2

Reorder the terms:
-8p + p2 = 12 + -12 + -8p + p2

Combine like terms: 12 + -12 = 0
-8p + p2 = 0 + -8p + p2
-8p + p2 = -8p + p2

Add '8p' to each side of the equation.
-8p + 8p + p2 = -8p + 8p + p2

Combine like terms: -8p + 8p = 0
0 + p2 = -8p + 8p + p2
p2 = -8p + 8p + p2

Combine like terms: -8p + 8p = 0
p2 = 0 + p2
p2 = p2

Add '-1p2' to each side of the equation.
p2 + -1p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
0 = p2 + -1p2

Combine like terms: p2 + -1p2 = 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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