(7p+5)(p+8)=0

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Solution for (7p+5)(p+8)=0 equation: 


Simplifying
(7p + 5)(p + 8) = 0

Reorder the terms:
(5 + 7p)(p + 8) = 0

Reorder the terms:
(5 + 7p)(8 + p) = 0

Multiply (5 + 7p) * (8 + p)
(5(8 + p) + 7p * (8 + p)) = 0
((8 * 5 + p * 5) + 7p * (8 + p)) = 0
((40 + 5p) + 7p * (8 + p)) = 0
(40 + 5p + (8 * 7p + p * 7p)) = 0
(40 + 5p + (56p + 7p2)) = 0

Combine like terms: 5p + 56p = 61p
(40 + 61p + 7p2) = 0

Solving
40 + 61p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(8 + p)(5 + 7p) = 0


Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 0

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

Add '-8' to each side of the equation.
8 + -8 + p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + p = 0 + -8
p = 0 + -8

Combine like terms: 0 + -8 = -8
p = -8

Simplifying
p = -8

Subproblem 2
Set the factor '(5 + 7p)' equal to zero and attempt to solve:

Simplifying
5 + 7p = 0

Solving
5 + 7p = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7p = 0 + -5
7p = 0 + -5

Combine like terms: 0 + -5 = -5
7p = -5

Divide each side by '7'.
p = -0.7142857143

Simplifying
p = -0.7142857143
Solution
p = {-8, -0.7142857143}

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