(p+7)(p-8)=

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Solution for (p+7)(p-8)= 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.
(-7 + -1p)(8 + -1p) = 0


Subproblem 1
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

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 = {-7, 8}

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