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

Solution for 2(-p+5)(p-6)= equation:

Simplifying
2(-1p + 5)(p + -6) = 0

Reorder the terms:
2(5 + -1p)(p + -6) = 0

Reorder the terms:
2(5 + -1p)(-6 + p) = 0

Multiply (5 + -1p) * (-6 + p)
2(5(-6 + p) + -1p * (-6 + p)) = 0
2((-6 * 5 + p * 5) + -1p * (-6 + p)) = 0
2((-30 + 5p) + -1p * (-6 + p)) = 0
2(-30 + 5p + (-6 * -1p + p * -1p)) = 0
2(-30 + 5p + (6p + -1p2)) = 0

Combine like terms: 5p + 6p = 11p
2(-30 + 11p + -1p2) = 0
(-30 * 2 + 11p * 2 + -1p2 * 2) = 0
(-60 + 22p + -2p2) = 0

Solving
-60 + 22p + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + 11p + -1p2) = 0

Factor a trinomial.
2((-6 + p)(5 + -1p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + p)' equal to zero and attempt to solve:

Simplifying
-6 + p = 0

Solving
-6 + p = 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 + p = 0 + 6

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

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

Simplifying
p = 6
Subproblem 2
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
Solution
p = {6, 5}