3p^2+4p-20=0

Solution for 3p^2+4p-20=0 equation:

Simplifying
3p2 + 4p + -20 = 0

Reorder the terms:
-20 + 4p + 3p2 = 0

Solving
-20 + 4p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-10 + -3p)(2 + -1p) = 0

Subproblem 1
Set the factor '(-10 + -3p)' equal to zero and attempt to solve:

Simplifying
-10 + -3p = 0

Solving
-10 + -3p = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3p = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3p = 0 + 10
-3p = 0 + 10

Combine like terms: 0 + 10 = 10
-3p = 10

Divide each side by '-3'.
p = -3.333333333

Simplifying
p = -3.333333333
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 = {-3.333333333, 2}