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

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


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

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

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

Multiply (-8 + p) * (7 + 2p)
(-8(7 + 2p) + p(7 + 2p)) = 0
((7 * -8 + 2p * -8) + p(7 + 2p)) = 0
((-56 + -16p) + p(7 + 2p)) = 0
(-56 + -16p + (7 * p + 2p * p)) = 0
(-56 + -16p + (7p + 2p2)) = 0

Combine like terms: -16p + 7p = -9p
(-56 + -9p + 2p2) = 0

Solving
-56 + -9p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -2p)(8 + -1p) = 0


Subproblem 1
Set the factor '(-7 + -2p)' equal to zero and attempt to solve:

Simplifying
-7 + -2p = 0

Solving
-7 + -2p = 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 + -2p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2p = 0 + 7
-2p = 0 + 7

Combine like terms: 0 + 7 = 7
-2p = 7

Divide each side by '-2'.
p = -3.5

Simplifying
p = -3.5

Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 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 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {-3.5, 8}

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