(8p+7)(p+2)=0

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Solution for (8p+7)(p+2)=0 equation: 


Simplifying
(8p + 7)(p + 2) = 0

Reorder the terms:
(7 + 8p)(p + 2) = 0

Reorder the terms:
(7 + 8p)(2 + p) = 0

Multiply (7 + 8p) * (2 + p)
(7(2 + p) + 8p * (2 + p)) = 0
((2 * 7 + p * 7) + 8p * (2 + p)) = 0
((14 + 7p) + 8p * (2 + p)) = 0
(14 + 7p + (2 * 8p + p * 8p)) = 0
(14 + 7p + (16p + 8p2)) = 0

Combine like terms: 7p + 16p = 23p
(14 + 23p + 8p2) = 0

Solving
14 + 23p + 8p2 = 0

Solving for variable 'p'.

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


Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 0

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

Add '-2' to each side of the equation.
2 + -2 + p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + p = 0 + -2
p = 0 + -2

Combine like terms: 0 + -2 = -2
p = -2

Simplifying
p = -2

Subproblem 2
Set the factor '(7 + 8p)' equal to zero and attempt to solve:

Simplifying
7 + 8p = 0

Solving
7 + 8p = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8p = 0 + -7
8p = 0 + -7

Combine like terms: 0 + -7 = -7
8p = -7

Divide each side by '8'.
p = -0.875

Simplifying
p = -0.875
Solution
p = {-2, -0.875}

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