(7p+14)(8-2p)=0

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Solution for (7p+14)(8-2p)=0 equation: 


Simplifying
(7p + 14)(8 + -2p) = 0

Reorder the terms:
(14 + 7p)(8 + -2p) = 0

Multiply (14 + 7p) * (8 + -2p)
(14(8 + -2p) + 7p * (8 + -2p)) = 0
((8 * 14 + -2p * 14) + 7p * (8 + -2p)) = 0
((112 + -28p) + 7p * (8 + -2p)) = 0
(112 + -28p + (8 * 7p + -2p * 7p)) = 0
(112 + -28p + (56p + -14p2)) = 0

Combine like terms: -28p + 56p = 28p
(112 + 28p + -14p2) = 0

Solving
112 + 28p + -14p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '14'.
14(8 + 2p + -1p2) = 0

Factor a trinomial.
14((4 + -1p)(2 + p)) = 0

Ignore the factor 14.

Subproblem 1
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4

Subproblem 2
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
Solution
p = {4, -2}

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