(p+10)(p-2)=(p+4)(p+4)-36

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Solution for (p+10)(p-2)=(p+4)(p+4)-36 equation: 


Simplifying
(p + 10)(p + -2) = (p + 4)(p + 4) + -36

Reorder the terms:
(10 + p)(p + -2) = (p + 4)(p + 4) + -36

Reorder the terms:
(10 + p)(-2 + p) = (p + 4)(p + 4) + -36

Multiply (10 + p) * (-2 + p)
(10(-2 + p) + p(-2 + p)) = (p + 4)(p + 4) + -36
((-2 * 10 + p * 10) + p(-2 + p)) = (p + 4)(p + 4) + -36
((-20 + 10p) + p(-2 + p)) = (p + 4)(p + 4) + -36
(-20 + 10p + (-2 * p + p * p)) = (p + 4)(p + 4) + -36
(-20 + 10p + (-2p + p2)) = (p + 4)(p + 4) + -36

Combine like terms: 10p + -2p = 8p
(-20 + 8p + p2) = (p + 4)(p + 4) + -36

Reorder the terms:
-20 + 8p + p2 = (4 + p)(p + 4) + -36

Reorder the terms:
-20 + 8p + p2 = (4 + p)(4 + p) + -36

Multiply (4 + p) * (4 + p)
-20 + 8p + p2 = (4(4 + p) + p(4 + p)) + -36
-20 + 8p + p2 = ((4 * 4 + p * 4) + p(4 + p)) + -36
-20 + 8p + p2 = ((16 + 4p) + p(4 + p)) + -36
-20 + 8p + p2 = (16 + 4p + (4 * p + p * p)) + -36
-20 + 8p + p2 = (16 + 4p + (4p + p2)) + -36

Combine like terms: 4p + 4p = 8p
-20 + 8p + p2 = (16 + 8p + p2) + -36

Reorder the terms:
-20 + 8p + p2 = 16 + -36 + 8p + p2

Combine like terms: 16 + -36 = -20
-20 + 8p + p2 = -20 + 8p + p2

Add '20' to each side of the equation.
-20 + 8p + 20 + p2 = -20 + 8p + 20 + p2

Reorder the terms:
-20 + 20 + 8p + p2 = -20 + 8p + 20 + p2

Combine like terms: -20 + 20 = 0
0 + 8p + p2 = -20 + 8p + 20 + p2
8p + p2 = -20 + 8p + 20 + p2

Reorder the terms:
8p + p2 = -20 + 20 + 8p + p2

Combine like terms: -20 + 20 = 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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