(p+7)(p-4)=

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Solution for (p+7)(p-4)= equation: 


Simplifying
(p + 7)(p + -4) = 0

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

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

Multiply (7 + p) * (-4 + p)
(7(-4 + p) + p(-4 + p)) = 0
((-4 * 7 + p * 7) + p(-4 + p)) = 0
((-28 + 7p) + p(-4 + p)) = 0
(-28 + 7p + (-4 * p + p * p)) = 0
(-28 + 7p + (-4p + p2)) = 0

Combine like terms: 7p + -4p = 3p
(-28 + 3p + p2) = 0

Solving
-28 + 3p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-7 + -1p)(4 + -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 '(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 = {-7, 4}

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