-2p^2+10p-12=

Solution for -2p^2+10p-12= equation:

Simplifying
-2p2 + 10p + -12 = 0

Reorder the terms:
-12 + 10p + -2p2 = 0

Solving
-12 + 10p + -2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5p + -1p2) = 0

Factor a trinomial.
2((-3 + p)(2 + -1p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + p)' equal to zero and attempt to solve:

Simplifying
-3 + p = 0

Solving
-3 + p = 0

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

Add '3' to each side of the equation.
-3 + 3 + p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + p = 0 + 3
p = 0 + 3

Combine like terms: 0 + 3 = 3
p = 3

Simplifying
p = 3
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {3, 2}