(2p+5)2=5(2p+5)+14

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Solution for (2p+5)2=5(2p+5)+14 equation: 


Simplifying
(2p + 5) * 2 = 5(2p + 5) + 14

Reorder the terms:
(5 + 2p) * 2 = 5(2p + 5) + 14

Reorder the terms for easier multiplication:
2(5 + 2p) = 5(2p + 5) + 14
(5 * 2 + 2p * 2) = 5(2p + 5) + 14
(10 + 4p) = 5(2p + 5) + 14

Reorder the terms:
10 + 4p = 5(5 + 2p) + 14
10 + 4p = (5 * 5 + 2p * 5) + 14
10 + 4p = (25 + 10p) + 14

Reorder the terms:
10 + 4p = 25 + 14 + 10p

Combine like terms: 25 + 14 = 39
10 + 4p = 39 + 10p

Solving
10 + 4p = 39 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
10 + 4p + -10p = 39 + 10p + -10p

Combine like terms: 4p + -10p = -6p
10 + -6p = 39 + 10p + -10p

Combine like terms: 10p + -10p = 0
10 + -6p = 39 + 0
10 + -6p = 39

Add '-10' to each side of the equation.
10 + -10 + -6p = 39 + -10

Combine like terms: 10 + -10 = 0
0 + -6p = 39 + -10
-6p = 39 + -10

Combine like terms: 39 + -10 = 29
-6p = 29

Divide each side by '-6'.
p = -4.833333333

Simplifying
p = -4.833333333

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