6p^2-13p=-6

Solution for 6p^2-13p=-6 equation:

Simplifying
6p2 + -13p = -6

Reorder the terms:
-13p + 6p2 = -6

Solving
-13p + 6p2 = -6

Solving for variable 'p'.

Reorder the terms:
6 + -13p + 6p2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -13p + 6p2 = 0

Factor a trinomial.
(2 + -3p)(3 + -2p) = 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 '(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 = {0.6666666667, 1.5}