(p+4)(5p-6)=

Solution for (p+4)(5p-6)= equation:

Simplifying
(p + 4)(5p + -6) = 0

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

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

Multiply (4 + p) * (-6 + 5p)
(4(-6 + 5p) + p(-6 + 5p)) = 0
((-6 * 4 + 5p * 4) + p(-6 + 5p)) = 0
((-24 + 20p) + p(-6 + 5p)) = 0
(-24 + 20p + (-6 * p + 5p * p)) = 0
(-24 + 20p + (-6p + 5p2)) = 0

Combine like terms: 20p + -6p = 14p
(-24 + 14p + 5p2) = 0

Solving
-24 + 14p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -1p)(6 + -5p) = 0

Subproblem 1
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
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 = {-4, 1.2}