(p+2)(2)+(p)(5)=

Solution for (p+2)(2)+(p)(5)= equation:

Simplifying
(p + 2)(2) + (p)(5) = 0

Reorder the terms:
(2 + p)(2) + (p)(5) = 0

Reorder the terms for easier multiplication:
2(2 + p) + (p)(5) = 0
(2 * 2 + p * 2) + (p)(5) = 0
(4 + 2p) + (p)(5) = 0

Reorder the terms for easier multiplication:
4 + 2p + 5p = 0

Combine like terms: 2p + 5p = 7p
4 + 7p = 0

Solving
4 + 7p = 0

Solving for variable 'p'.

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

Add '-4' to each side of the equation.
4 + -4 + 7p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7p = 0 + -4
7p = 0 + -4

Combine like terms: 0 + -4 = -4
7p = -4

Divide each side by '7'.
p = -0.5714285714

Simplifying
p = -0.5714285714