6p^2-11p=-3

Solution for 6p^2-11p=-3 equation:

Simplifying
6p2 + -11p = -3

Reorder the terms:
-11p + 6p2 = -3

Solving
-11p + 6p2 = -3

Solving for variable 'p'.

Reorder the terms:
3 + -11p + 6p2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -11p + 6p2 = 0

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

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

Simplifying
1 + -3p = 0

Solving
1 + -3p = 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 + -3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3p = 0 + -1
-3p = 0 + -1

Combine like terms: 0 + -1 = -1
-3p = -1

Divide each side by '-3'.
p = 0.3333333333

Simplifying
p = 0.3333333333
Subproblem 2
Set the factor '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

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

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

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

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {0.3333333333, 1.5}