-30p^2+57p+6=0

Solution for -30p^2+57p+6=0 equation:

Simplifying
-30p2 + 57p + 6 = 0

Reorder the terms:
6 + 57p + -30p2 = 0

Solving
6 + 57p + -30p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 19p + -10p2) = 0

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

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + 10p)' equal to zero and attempt to solve:

Simplifying
1 + 10p = 0

Solving
1 + 10p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 10p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10p = 0 + -1
10p = 0 + -1

Combine like terms: 0 + -1 = -1
10p = -1

Divide each side by '10'.
p = -0.1

Simplifying
p = -0.1
Solution
p = {2, -0.1}