(p+11)(p-4)=0

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Solution for (p+11)(p-4)=0 equation: 


Simplifying
(p + 11)(p + -4) = 0

Reorder the terms:
(11 + p)(p + -4) = 0

Reorder the terms:
(11 + p)(-4 + p) = 0

Multiply (11 + p) * (-4 + p)
(11(-4 + p) + p(-4 + p)) = 0
((-4 * 11 + p * 11) + p(-4 + p)) = 0
((-44 + 11p) + p(-4 + p)) = 0
(-44 + 11p + (-4 * p + p * p)) = 0
(-44 + 11p + (-4p + p2)) = 0

Combine like terms: 11p + -4p = 7p
(-44 + 7p + p2) = 0

Solving
-44 + 7p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-11 + -1p)(4 + -1p) = 0


Subproblem 1
Set the factor '(-11 + -1p)' equal to zero and attempt to solve:

Simplifying
-11 + -1p = 0

Solving
-11 + -1p = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1p = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1p = 0 + 11
-1p = 0 + 11

Combine like terms: 0 + 11 = 11
-1p = 11

Divide each side by '-1'.
p = -11

Simplifying
p = -11

Subproblem 2
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
Solution
p = {-11, 4}

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