(p+2)(p+2)=-25

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Solution for (p+2)(p+2)=-25 equation:


Simplifying
(p + 2)(p + 2) = -25

Reorder the terms:
(2 + p)(p + 2) = -25

Reorder the terms:
(2 + p)(2 + p) = -25

Multiply (2 + p) * (2 + p)
(2(2 + p) + p(2 + p)) = -25
((2 * 2 + p * 2) + p(2 + p)) = -25
((4 + 2p) + p(2 + p)) = -25
(4 + 2p + (2 * p + p * p)) = -25
(4 + 2p + (2p + p2)) = -25

Combine like terms: 2p + 2p = 4p
(4 + 4p + p2) = -25

Solving
4 + 4p + p2 = -25

Solving for variable 'p'.

Reorder the terms:
4 + 25 + 4p + p2 = -25 + 25

Combine like terms: 4 + 25 = 29
29 + 4p + p2 = -25 + 25

Combine like terms: -25 + 25 = 0
29 + 4p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 4p + -29 + p2 = 0 + -29

Reorder the terms:
29 + -29 + 4p + p2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 4p + p2 = 0 + -29
4p + p2 = 0 + -29

Combine like terms: 0 + -29 = -29
4p + p2 = -29

The p term is 4p.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4p + 4 + p2 = -29 + 4

Reorder the terms:
4 + 4p + p2 = -29 + 4

Combine like terms: -29 + 4 = -25
4 + 4p + p2 = -25

Factor a perfect square on the left side:
(p + 2)(p + 2) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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