12p^2-7p-10=

Solution for 12p^2-7p-10= equation:

Simplifying
12p2 + -7p + -10 = 0

Reorder the terms:
-10 + -7p + 12p2 = 0

Solving
-10 + -7p + 12p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-2 + -3p)(5 + -4p) = 0

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

Simplifying
-2 + -3p = 0

Solving
-2 + -3p = 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 + -3p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3p = 0 + 2
-3p = 0 + 2

Combine like terms: 0 + 2 = 2
-3p = 2

Divide each side by '-3'.
p = -0.6666666667

Simplifying
p = -0.6666666667
Subproblem 2
Set the factor '(5 + -4p)' equal to zero and attempt to solve:

Simplifying
5 + -4p = 0

Solving
5 + -4p = 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 + -4p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4p = 0 + -5
-4p = 0 + -5

Combine like terms: 0 + -5 = -5
-4p = -5

Divide each side by '-4'.
p = 1.25

Simplifying
p = 1.25
Solution
p = {-0.6666666667, 1.25}