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

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


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

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

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

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

Combine like terms: -7p + 8p = 1p
(-56 + 1p + p2) = 0

Solving
-56 + 1p + p2 = 0

Solving for variable 'p'.

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


Subproblem 1
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

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

Simplifying
7 + -1p = 0

Solving
7 + -1p = 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 + -1p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = 0 + -7
-1p = 0 + -7

Combine like terms: 0 + -7 = -7
-1p = -7

Divide each side by '-1'.
p = 7

Simplifying
p = 7
Solution
p = {-8, 7}

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