p(p+4)-2p+1=(p+1)(p+41)-2

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Solution for p(p+4)-2p+1=(p+1)(p+41)-2 equation: 


Simplifying
p(p + 4) + -2p + 1 = (p + 1)(p + 41) + -2

Reorder the terms:
p(4 + p) + -2p + 1 = (p + 1)(p + 41) + -2
(4 * p + p * p) + -2p + 1 = (p + 1)(p + 41) + -2
(4p + p2) + -2p + 1 = (p + 1)(p + 41) + -2

Reorder the terms:
1 + 4p + -2p + p2 = (p + 1)(p + 41) + -2

Combine like terms: 4p + -2p = 2p
1 + 2p + p2 = (p + 1)(p + 41) + -2

Reorder the terms:
1 + 2p + p2 = (1 + p)(p + 41) + -2

Reorder the terms:
1 + 2p + p2 = (1 + p)(41 + p) + -2

Multiply (1 + p) * (41 + p)
1 + 2p + p2 = (1(41 + p) + p(41 + p)) + -2
1 + 2p + p2 = ((41 * 1 + p * 1) + p(41 + p)) + -2
1 + 2p + p2 = ((41 + 1p) + p(41 + p)) + -2
1 + 2p + p2 = (41 + 1p + (41 * p + p * p)) + -2
1 + 2p + p2 = (41 + 1p + (41p + p2)) + -2

Combine like terms: 1p + 41p = 42p
1 + 2p + p2 = (41 + 42p + p2) + -2

Reorder the terms:
1 + 2p + p2 = 41 + -2 + 42p + p2

Combine like terms: 41 + -2 = 39
1 + 2p + p2 = 39 + 42p + p2

Add '-1p2' to each side of the equation.
1 + 2p + p2 + -1p2 = 39 + 42p + p2 + -1p2

Combine like terms: p2 + -1p2 = 0
1 + 2p + 0 = 39 + 42p + p2 + -1p2
1 + 2p = 39 + 42p + p2 + -1p2

Combine like terms: p2 + -1p2 = 0
1 + 2p = 39 + 42p + 0
1 + 2p = 39 + 42p

Solving
1 + 2p = 39 + 42p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-42p' to each side of the equation.
1 + 2p + -42p = 39 + 42p + -42p

Combine like terms: 2p + -42p = -40p
1 + -40p = 39 + 42p + -42p

Combine like terms: 42p + -42p = 0
1 + -40p = 39 + 0
1 + -40p = 39

Add '-1' to each side of the equation.
1 + -1 + -40p = 39 + -1

Combine like terms: 1 + -1 = 0
0 + -40p = 39 + -1
-40p = 39 + -1

Combine like terms: 39 + -1 = 38
-40p = 38

Divide each side by '-40'.
p = -0.95

Simplifying
p = -0.95

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