p(p+4)-2p+1=(p+1)(p+1)-2

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Solution for p(p+4)-2p+1=(p+1)(p+1)-2 equation: 


Simplifying
p(p + 4) + -2p + 1 = (p + 1)(p + 1) + -2

Reorder the terms:
p(4 + p) + -2p + 1 = (p + 1)(p + 1) + -2
(4 * p + p * p) + -2p + 1 = (p + 1)(p + 1) + -2
(4p + p2) + -2p + 1 = (p + 1)(p + 1) + -2

Reorder the terms:
1 + 4p + -2p + p2 = (p + 1)(p + 1) + -2

Combine like terms: 4p + -2p = 2p
1 + 2p + p2 = (p + 1)(p + 1) + -2

Reorder the terms:
1 + 2p + p2 = (1 + p)(p + 1) + -2

Reorder the terms:
1 + 2p + p2 = (1 + p)(1 + p) + -2

Multiply (1 + p) * (1 + p)
1 + 2p + p2 = (1(1 + p) + p(1 + p)) + -2
1 + 2p + p2 = ((1 * 1 + p * 1) + p(1 + p)) + -2
1 + 2p + p2 = ((1 + 1p) + p(1 + p)) + -2
1 + 2p + p2 = (1 + 1p + (1 * p + p * p)) + -2
1 + 2p + p2 = (1 + 1p + (1p + p2)) + -2

Combine like terms: 1p + 1p = 2p
1 + 2p + p2 = (1 + 2p + p2) + -2

Reorder the terms:
1 + 2p + p2 = 1 + -2 + 2p + p2

Combine like terms: 1 + -2 = -1
1 + 2p + p2 = -1 + 2p + p2

Add '-2p' to each side of the equation.
1 + 2p + -2p + p2 = -1 + 2p + -2p + p2

Combine like terms: 2p + -2p = 0
1 + 0 + p2 = -1 + 2p + -2p + p2
1 + p2 = -1 + 2p + -2p + p2

Combine like terms: 2p + -2p = 0
1 + p2 = -1 + 0 + p2
1 + p2 = -1 + p2

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

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

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

Solving
1 = -1

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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