-6p^2+7p-1=0

Solution for -6p^2+7p-1=0 equation:

Simplifying
-6p2 + 7p + -1 = 0

Reorder the terms:
-1 + 7p + -6p2 = 0

Solving
-1 + 7p + -6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + p)(1 + -6p) = 0

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

Simplifying
-1 + p = 0

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

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

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

Simplifying
p = 1
Subproblem 2
Set the factor '(1 + -6p)' equal to zero and attempt to solve:

Simplifying
1 + -6p = 0

Solving
1 + -6p = 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 + -6p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6p = 0 + -1
-6p = 0 + -1

Combine like terms: 0 + -1 = -1
-6p = -1

Divide each side by '-6'.
p = 0.1666666667

Simplifying
p = 0.1666666667
Solution
p = {1, 0.1666666667}