(p+5)(5p-6)=

Solution for (p+5)(5p-6)= equation:

Simplifying
(p + 5)(5p + -6) = 0

Reorder the terms:
(5 + p)(5p + -6) = 0

Reorder the terms:
(5 + p)(-6 + 5p) = 0

Multiply (5 + p) * (-6 + 5p)
(5(-6 + 5p) + p(-6 + 5p)) = 0
((-6 * 5 + 5p * 5) + p(-6 + 5p)) = 0
((-30 + 25p) + p(-6 + 5p)) = 0
(-30 + 25p + (-6 * p + 5p * p)) = 0
(-30 + 25p + (-6p + 5p2)) = 0

Combine like terms: 25p + -6p = 19p
(-30 + 19p + 5p2) = 0

Solving
-30 + 19p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -1p)(6 + -5p) = 0

Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(6 + -5p)' equal to zero and attempt to solve:

Simplifying
6 + -5p = 0

Solving
6 + -5p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5p = 0 + -6
-5p = 0 + -6

Combine like terms: 0 + -6 = -6
-5p = -6

Divide each side by '-5'.
p = 1.2

Simplifying
p = 1.2
Solution
p = {-5, 1.2}